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On Semilinear Elliptic Equations with Hardy-Leray Potentials
Tokyo Journal of MathematicsSummary: 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, ...openaire +1 more source
On singular semilinear elliptic equations
2013http://archive.org/details ...
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Uniqueness of positive solutions of semilinear elliptic equations
Funkcialaj Ekvacioj, 1993The 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 \(|x|\to R_2\).
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Local and parallel multigrid method for semilinear elliptic equations
Applied Numerical Mathematics, 2021Fei Xu, Qiumei Huang, Hongkun Ma
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Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
SIAM Journal on Control and Optimization, 1993Eduardo Casas
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Boundedness of Stable Solutions to Semilinear Elliptic Equations: A Survey
Advanced Nonlinear Studies, 2017Xavier Cabré
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Iterative two-grid methods for semilinear elliptic equations
Computers and Mathematics With Applications, 2020Liuqiang Zhong
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