Results 161 to 170 of about 232 (187)
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On Semilinear Elliptic Equations with Hardy-Leray Potentials

Tokyo Journal of Mathematics
Summary: This paper is concerned with a semilinear elliptic equation with the Hardy-Leray potential. We employ the method of moving planes to prove the radial symmetry of positive solutions. Based on this result, we obtain the Liouville theorem in subcritical case. In addition, we find special radial solutions in critical case. All the properties above
Li, Yayun, Lei, Yutian
openaire   +1 more source

Fully linear elliptic equations and semilinear fractionnal elliptic equations

Cette thèse est divisée en six parties. La première partie est consacrée à l'étude de propriétés de Hadamard et à l'obtention de théorèmes de Liouville pour des solutions de viscosité d'équations aux dérivées partielles elliptiques complètement non-linéaires avec des termes de gradient, ...
openaire   +1 more source

Uniqueness of positive solutions of semilinear elliptic equations

Funkcialaj Ekvacioj, 1993
The author considers the uniqueness problem of nonnegative radial solutions for semilinear elliptic Neumann problems \(\Delta u+ f(u)= 0\) on an annular domain \(R_1< |x|< R_2\) (which reduces to an ODE problem) assuming additionally \(u\to 0\) for \(|x|\to R_2\).
openaire   +2 more sources

Sign-changing solutions for semilinear elliptic equation with variable exponent

Journal of Mathematical Analysis and Applications, 2022
Xiangqing Liu
exaly  

A novel domain decomposition method for coupled semilinear elliptic equation

Mathematical Methods in the Applied Sciences, 2021
Fei Xu
exaly  

A class of semilinear elliptic equations on groups of polynomial growth

Journal of Differential Equations, 2023
Lidan Wang, Ruowei Li, Bobo Hua
exaly  

Positive solutions of a semilinear elliptic equation on a compact manifold

Nonlinear Analysis: Theory, Methods & Applications, 1994
Manuel Del Pino
exaly  

Singularities for a 2-Dimensional Semilinear Elliptic Equation with a Non-Lipschitz Nonlinearity

Journal of Differential Equations, 1999
Marie-Françoise Bidaut-Véron
exaly  

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