BEGIN:VCALENDAR
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BEGIN:VEVENT
SUMMARY:Laurent Veron (University of Tours)
DTSTART:20220211T080000Z
DTEND:20220211T090000Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/1/">Boundary singular problems for mixed quasilinear equations
 </a>\nby Laurent Veron (University of Tours) as part of 2022 WINTER MEETIN
 G ON PDES\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dong Ye (East China Normal University)
DTSTART:20220211T090000Z
DTEND:20220211T100000Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/2/">Hardy-Rellich inequalities revisited</a>\nby Dong Ye (East
  China Normal University) as part of 2022 WINTER MEETING ON PDES\n\n\nAbst
 ract\nHardy-Rellich type inequalities have broad applications in different
  fields of analysis and geometry\, they have been studied extensively sinc
 e Hardy's seminal works one century ago. In this talk\, we will revise fir
 stly various first order Hardy inequalities\, and point out that most of t
 hem can be obtained by a simple and unified equality. This approach permit
 s us to get some new or improved first order Hardy inequalities. We will e
 xplain also our approach to obtain higher order Hardy-Rellich type equalit
 ies which imply and improve many classical Hardy-Rellich inequalities. Thi
 s is a joint work with Xia Huang at ECNU.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Moshe Marcus (Technion - Israel Institute of Technology)
DTSTART:20220211T120000Z
DTEND:20220211T130000Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/3/">Boundary value problems for a class of semilinear Schrodin
 ger equations</a>\nby Moshe Marcus (Technion - Israel Institute of Technol
 ogy) as part of 2022 WINTER MEETING ON PDES\n\n\nAbstract\nWe consider the
  problem\, $-L_Vu +f(u)=\\tau$ in a smooth domain $D\\subset R^N$ with pre
 scribed data $\\mathrm{trace} u= \\nu$ on the boundary of $D$. Here $L_V=\
 \Delta +V$ where $V$ is a strongly singular potential\; $\\tau $ and $\\nu
 $ are measures in $D$ and $\\partial D$ respectively\; $f\\in C(R)$ is a m
 onotone increasing function such that $f(0)=0$. We shall consider differen
 t notions of the boundary trace and the relation between them. It is well 
 known that\, depending on the data\, the above problem may have no solutio
 n. \nWe shall discuss ways of determining the 'good' part of the data (or 
 the 'reduced measures') for which the boundary value problem admits a solu
 tion.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giuseppe Mingione (Università Degli Studi di Parma)
DTSTART:20220211T130000Z
DTEND:20220211T135500Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/4/">Update on Nonuniform Ellipticity</a>\nby Giuseppe Mingione
  (Università Degli Studi di Parma) as part of 2022 WINTER MEETING ON PDES
 \n\n\nAbstract\nNonuniform Ellipticity is a classical topic in PDE\, and r
 egularity of solutions to nonuniformly elliptic and parabolic equations ha
 s been studied at length. I will present some recent results in this direc
 tion\, including the solution to the longstanding issue of the validity of
  Schauder estimates in the nonuniformly elliptic case obtained in collabor
 ation with Cristiana De Filippis.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nguyen Cong Phuc (Louisiana State University)
DTSTART:20220211T135500Z
DTEND:20220211T144500Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/5/">A comparison estimate for singular $p$-Laplace equations a
 nd its consequences</a>\nby Nguyen Cong Phuc (Louisiana State University) 
 as part of 2022 WINTER MEETING ON PDES\n\n\nAbstract\nWe present a compari
 son estimate for $p$-Laplace type equations with measure data.The main fea
 ture is that it works for all $1<p<3/2$ which is enough to cover the remai
 ning open \nrange where  $1< p\\leq \\frac{3n-2}{2n-1}$. Here $n\\geq 2$ i
 s the dimension of the ambient space. \nPointwise estimates for solutions 
 and  their full or fractional derivatives are obtained as a consequence of
  such a comparison estimate.\nThis talk is based on joint work with Quoc-H
 ung Nguyen.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marie-Françoise Bidaut-Véron (University of Tours)
DTSTART:20220212T080000Z
DTEND:20220212T090000Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/6/">Singular solutions of some elliptic equations involving mi
 xed absorption-reaction</a>\nby Marie-Françoise Bidaut-Véron (University
  of Tours) as part of 2022 WINTER MEETING ON PDES\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhitao Zhang (Chinese academy of Sciences)
DTSTART:20220212T090000Z
DTEND:20220212T100000Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/7/">Henon-Lane-Emden conjecture and related Schrodinger system
 s</a>\nby Zhitao Zhang (Chinese academy of Sciences) as part of 2022 WINTE
 R MEETING ON PDES\n\n\nAbstract\nWe have proved Henon-Lane-Emden conjectur
 e is true for space dimension $N=3$  by scaling invariant of the solutions
  and Sobolev embedding on $S^{N-1}$. Then we obtained new Liouville-type t
 heorems and showed Henon-Lane-Emden conjecture for polyharmoic system hold
 s in a new region\, and also proved the generalized H\\'{e}non-Lane-Emden 
 conjecture in $R^2$ and $R^3$.  Moreover\, we prove some new results on re
 lated Schrodinger systems.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Feng Zhou (East China Normal University)
DTSTART:20220212T120000Z
DTEND:20220212T130000Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/8/">Isolated singularities for fractional Lane-Emden equations
 </a>\nby Feng Zhou (East China Normal University) as part of 2022 WINTER M
 EETING ON PDES\n\n\nAbstract\nWe will talk about the isolated singular pos
 itive solutions for some semilinear elliptic equations\, in particular\, f
 or Lane-Emden equation involving fractional elliptic operator. A classific
 ation of the isolated singularities of positive solutions is presented. Ou
 r analysis of isolated singularities is based on an integral upper bond an
 d the study of the Poisson problem with the fractional Hardy operators.  T
 he talk is based on joint works with H.Y.Chen.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Na Zhao (Shanghai University of Finance and Economics)
DTSTART:20220212T130000Z
DTEND:20220212T135500Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/9/">Global  Calder\\'{o}n--Zygmund theory for parabolic $p$-La
 placian system: the case $1<p\\leq \\frac{2n}{n+2}$</a>\nby Na Zhao (Shang
 hai University of Finance and Economics) as part of 2022 WINTER MEETING ON
  PDES\n\n\nAbstract\nIn this talk\, we consider the global Calder\\'{o}n--
 Zygmund theory \nto parabolic $p$-Laplacian system: \n$$\nu_t -\\operatorn
 ame{div}(|\\nabla u|^{p-2}\\nabla u) = \\operatorname{div} (|F|^{p-2}F)~\\
 text{in}~\\Omega\\times (0\,T)\\subset \\mathbb{R}^{n+1}\,\n$$\nproving th
 at\n$$\nF\\in L^q\\Rightarrow \\nabla u\\in L^q\,\n$$\nfor any $q>\\max\\{
 p\,\\frac{n(2-p)}{2}\\}$ and $p>1$. Acerbi\nand Mingione [\\emph{Duke Math
 . J.\, 2007}] proved this estimate in the case $p>\\frac{2n}{n+2}$.  In th
 is talk\, we settle the case $1<p\\leq \\frac{2n}{n+2}$. We also treat sys
 tems with discontinuous  coefficients having small BMO (bounded mean\nosci
 llation) norm. This is a joint work with Ke Chen and Quoc-Hung Nguyen.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erwin Topp (University of Santiago)
DTSTART:20220212T135500Z
DTEND:20220212T144500Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/10/">A nonlocal version of the inverse problem of Donsker and 
 Varadhan</a>\nby Erwin Topp (University of Santiago) as part of 2022 WINTE
 R MEETING ON PDES\n\n\nAbstract\nIn their seminal paper of 1976\, M.D. Don
 sker and S.R.S. Varadhan addressed the\nfollowing "inverse problem": let c
 onsider two linear\, second-order\, uniformly elliptic\noperators $L_1\,L_
 2$ with the form\n$$L_i={\\rm Div}(A_i(x) D\\phi)+b_i(x)D\\phi\, \\ \\ i=1
 \,2.$$\n%$$L_i= {\\rm Div}(A_i(x) D\\phi\n) + b_i(x) 
 D\\phi\n\n\,\\ \\  
 i= 1\, 2.$$\nIf for every domain $\\Omega$ and every smooth potential $V$\
 , the operators \n$L_1+V$ and $L_2+V$ have the same principal eigenvalue i
 n $\\Omega$\, then the diffusions are  equal $A_1=A_2$   and either \n$L_1
 \\phi=L_2(u\\phi)/u$\nfor some \n$L_2$-harmonic function $u$\, or\n$L_2\\p
 hi=L_1(u\\phi)/u$\nfor some $L_2^*$-harmonic function $u$.\nIn this talk w
 e report a nonlocal a version of this problem\, where both the diffusion\n
 and transport terms defining the involved operators have a fractional natu
 re. We\nprove a similar conjugacy phenomena among operators having the sam
 e principal\neigenvalues\, by means of a minmax characterization for them\
 , and developing new\nideas to overcome the difficulties posed by the non 
 locality.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guohuan Qiu (Chinese academy of Sciences)
DTSTART:20220213T080000Z
DTEND:20220213T090000Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/11/">Interior Hessian Estimate for $\\sigma_2$ Equations</a>\n
 by Guohuan Qiu (Chinese academy of Sciences) as part of 2022 WINTER MEETIN
 G ON PDES\n\n\nAbstract\nMotivated by isometric embedding problems\, E.Hei
 nz proved interior $C^2$ estimate for 2-d Monge-Ampere equations.\nIn this
  talk\, I will introduce a new pointwise approach to the 2-d Monge-Ampere 
 equation.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yi Ru-Ya Zhang (Chinese academy of Sciences)
DTSTART:20220213T090000Z
DTEND:20220213T100000Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/12/">Semilinear elliptic PDEs with superlinear nonlinearity</a
 >\nby Yi Ru-Ya Zhang (Chinese academy of Sciences) as part of 2022 WINTER 
 MEETING ON PDES\n\n\nAbstract\nLet u be a solution to the equation $-\\Del
 ta u =f(u)$\, where $f$ is postive\, smooth\, convex\, increasing and supe
 rlinear\, i.e. f(t)/t goes to $\\infty as t\\to \\infty$. Cabrbe-Figalli-R
 os-Oton- Serra proved that\, when $n\\le 9$\, any stable solution to this 
 equation is bounded (and then smooth). In this talk we introduce the recen
 t progress in this field.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nguyen Anh Dao (University of Economics Ho Chi Minh City)
DTSTART:20220213T120000Z
DTEND:20220213T130000Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/13/">Pointwise Gradient Estimates in Multi-dimensional Slow Di
 ffusion Equations with a Singular Quenching Term</a>\nby Nguyen Anh Dao (U
 niversity of Economics Ho Chi Minh City) as part of 2022 WINTER MEETING ON
  PDES\n\n\nAbstract\nWe study an existence of  weak solutions to the porou
 s medium equation with a singular absorption term: \n\\begin{equation}\\la
 bel{1}\n	\\partial_t u - \\Delta u^m + u^{-\\beta} \\chi_{\\{u>0\\}} = 0 \
 ,  \\quad \\text{in }  \\\, \\Omega\\times(0\,\\infty)\,\n\\end{equation}\
 nwhere $m\\geq 1$\, $\\beta\\in (0\,m)$\, and  $\\Omega$ is a bounded doma
 in in $\\mathbb{R}^N$\, $N\\geq 1$.\n\\\\\nTo obtain an existence result o
 f solutions of Eq \\eqref{1}\, we prove a universal gradient estimate.\nMo
 reover\, we also investigate the quenching phenomenon of solutions of Eq \
 \eqref{1} in a finite time. Precisely\, we prove that such a solution of E
 q \\eqref{1} vanishes after a finite time\, even beginning with a large in
 itial datum.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Konstantinos  Gkikas (National and Kapodistrian University of Athe
 ns)
DTSTART:20220213T130000Z
DTEND:20220213T135500Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/14/">Semilinear Elliptic Equations Involving Hardy type Potent
 ials and Absorptions Terms</a>\nby Konstantinos  Gkikas (National and Kapo
 distrian University of Athens) as part of 2022 WINTER MEETING ON PDES\n\n\
 nAbstract\nLet $\\Omega \\subset \\mathbb{R}^N$ ($N>2$) be a $C^2$ bounded
  domain and  $\\Sigma \\subset \\Omega$ be a compact\, $C^2$ submanifold w
 ithout boundary\, of dimension $k$ with $0\\leq k < N-2$. Put $L_\\mu = \\
 Delta + \\mu d_\\Sigma^{-2}$ in $\\Omega \\setminus \\Sigma$\, where $d_\\
 Sigma(x) = \\text{dist}(x\,\\Sigma)$ and $\\mu$ is a parameter. We will di
 scuss the existence and nonexistence of solutions concerning the equation 
 $-L_\\mu u+|u|^{p-1}u=0$ in $\\Omega\\setminus \\Sigma$ with boundary meas
 ure data. K. Gkikas was supported by Hellenic Foundation for Research and 
 Innovation\n(H.F.R.I.) under the “2nd Call for H.F.R.I. Research Project
 s to support Post-Doctoral Researchers” (Project\nNumber: 59). This is a
  joint with P.-T. Nguyen.\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cesar Ledesma (National University of Trujillo)
DTSTART:20220213T135500Z
DTEND:20220213T144500Z
DTSTAMP:20260414T221041Z
UID:2022wintermeetingonpdes/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2022winterme
 etingonpdes/15/">Fractional elliptic problem in exterior domains with nonl
 ocal Neumann condition</a>\nby Cesar Ledesma (National University of Truji
 llo) as part of 2022 WINTER MEETING ON PDES\n\n\nAbstract\nIn this paper w
 e consider the existence of solution for the following class\nof fractiona
 l elliptic problem\n\\begin{equation*}  \n	(-\\Delta)^s  u+ u =Q|u|^{p-1}u
  \\quad\\text{in }\\\;\\R^N\\setminus\\Omega\,\\qquad\n	\\mathcal{N}_su=0\
 \quad\\text{on }\\\; \\Omega.\n\\end{equation*}\nwhere $s\\in (0\, 1)$\, $
 N>2s$\, $\\Omega\\subset  \\R^N$ is a bounded set with smooth boundary\,\n
 $(-\\Delta)^s $ denotes the fractional Laplacian operator and $\\mathcal{N
 }_s$ is the nonlocal operator that describes the Neumann boundary conditio
 n\, which is given by\n$$\\mathcal{N}_su(x)=c_{N\,s}\\int_{\\R^N\\setminus
  \\Omega} \\frac{u(x)-u(y)}{|x-y|^{N+2s}}dy\,\\ \\ x\\in\\Omega. $$\n
LOCATION:https://researchseminars.org/talk/2022wintermeetingonpdes/15/
END:VEVENT
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