Results 21 to 30 of about 15,743 (200)

Some quasilinear elliptic equations involving multiple $p$-Laplacians [PDF]

Indiana University Mathematics Journal, 2018
18 pages, some minor ...
Alessio Pomponio, Tatsuya Watanabe
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Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents

Advanced Nonlinear Studies, 2018
This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
doaj   +1 more source

A Picone identity for variable exponent operators and applications

Advances in Nonlinear Analysis, 2019
In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh, Giacomoni Jacques, Warnault Guillaume   +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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Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds

, 2016
We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable weighted volume growth conditions on geodesic ...
Monticelli, Dario D., Punzo, Fabio, Sciunzi, Berardino   +2 more
core   +1 more source

Existence of positive solutions for generalized quasilinear Schrödinger equations with Sobolev critical growth

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we are devoted to establishing that the existence of positive solutions for a class of generalized quasilinear elliptic equations in $\mathbb{R}^{N}$ with Sobolev critical growth, which have appeared from plasma physics, as well as high ...
Nian Zhang, Chuchu Liang
doaj   +1 more source

Existence and nonexistence of solutions for elliptic problems with multiple critical exponents

Open Mathematics, 2023
In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains Ω⊂RN(N≥3)\Omega \subset {R}^{N}(N\ge 3) are proved by ...
Li Yuanyuan
doaj   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities

Abstract and Applied Analysis, 2012
By variational methods and some analysis techniques, the multiplicity of positive solutions is obtained for a class of weighted quasilinear elliptic equations with critical Hardy-Sobolev exponents and concave-convex nonlinearities.
Tsing-San Hsu, Huei-Li Lin
doaj   +1 more source

Arithmetic three-spheres theorems for quasilinear Riccati type inequalities [PDF]

, 2015
We consider arithmetic three-spheres inequalities to solutions of certain second order quasilinear elliptic differential equations and inequalities with a Riccati-type drift term.Comment: to appear in Journal d'Analyse Math ...
Granlund, Seppo, Marola, Niko
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