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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
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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, ...
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A Novel Two-Grid Method for Semilinear Elliptic Equations

SIAM Journal on Scientific Computing, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Local and parallel multigrid method for semilinear elliptic equations

Applied Numerical Mathematics, 2021
Fei Xu, Qiumei Huang
exaly  

Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints

SIAM Journal on Control and Optimization, 1993
Eduardo Casas
exaly  

Structure of ground state solutions of singular semilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 2003
Li Shujie
exaly  

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