Results 21 to 30 of about 16,559 (211)
Unique continuation for degenerate quasilinear equations and sum operators
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We prove unique continuation property for positive solutions of some quasilinear degenerate elliptic equations.
Giuseppe Di Fazio +2 more
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The Calderón problem for quasilinear elliptic equations
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020 In this paper we show uniqueness of the conductivity for the quasilinear Calderón's inverse problem. The nonlinear conductivity depends, in a nonlinear fashion, of the potential itself and its gradient. Under some structural assumptions on the direct problem, a real-valued conductivity allowing a small analytic continuation to the complex plane induce ...
Gunther Uhlmann, Claudio Muñoz
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Advanced Nonlinear Studies, 2021 This paper establishes pointwise estimates up to boundary for the gradient of weak solutions to a class of very singular quasilinear elliptic equations with mixed ...
Do Tan Duc +2 more
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Quasilinear stochastic elliptic equations with reflection
Stochastic Processes and their Applications, 1995 The authors consider the following nonlinear stochastic elliptic equation with Dirichlet boundary condition on a bounded domain \(D\) of \(\mathbb{R}^ k\), \(k = 1,2,3\), \[ \begin{cases} -\Delta u(x) + f \bigl( x,u(x) \bigr) = \dot w(x) + \eta,\\ u |_{\delta D} = 0, \end{cases} \tag{1} \] where \(\{\dot w(x), x \in D\}\) is a white noise on \(D\) and \
Samy Tindel, David Nualart
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Quasilinear elliptic equations with VMO coefficients [PDF]
Transactions of the American Mathematical Society, 1995 Strong solvability and uniqueness in Sobolev space W 2 , n ( Ω ) {W^{2,n}}(\Omega ) are proved for the Dirichlet problem \[ { u =
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On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
International Journal of Mathematics and Mathematical Sciences, 2006 Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool.
Yang Zuodong
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Multiplicity of solutions for quasilinear elliptic equations [PDF]
Topological Methods in Nonlinear Analysis, 1995 The quasilinear elliptic variational equation \[ -\sum^n_{i,j=1}{\partial\over\partial x_j}\Biggl(a_{ij}(x,u){\partial u\over\partial x_i}\Biggr)+{1\over 2}\sum^n_{i,j=1}{\partial a_{ij}\over\partial u}(x,u){\partial u\over\partial x_i}{\partial u\over\partial x_j}=g(x,u)\quad\text{in }\Omega,\;u|_{\partial\Omega}=0 \] is shown to have infinitely many ...
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A new existence result for some nonlocal problems involving Orlicz spaces and its applications
Boundary Value Problems, 2022 This paper studies some quasilinear elliptic nonlocal equations involving Orlicz–Sobolev spaces. On the one hand, a new sub-supersolution theorem is proved via the pseudomonotone operator theory; on the other hand, using the obtained theorem, we present ...
Xiaohui Qiu, Baoqiang Yan
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Fine topology and quasilinear elliptic equations [PDF]
Annales de l’institut Fourier, 1989 It is shown that the (1,p)-fine topology defined via a Wiener criterion is the coarsest topology making all supersolutions to the p-Laplace equation \(div(| \nabla u|^{p-2} \nabla u)=0\) continuous. Fine limits of quasiregular and BLD mappings are also studied.
Juha Heinonen +2 more
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Advances in Nonlinear Analysis, 2017 In this paper, we study a class of quasilinear elliptic equations involving the Sobolev critical ...
Teng Kaimin, Yang Xiaofeng
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