Results 191 to 200 of about 1,290,485 (220)

Nontrivial solutions of elliptic semilinear equations¶at resonance

manuscripta mathematica, 2000
The authors consider the following Dirichlet problem \(-\Delta u = \lambda_m +f(x,u)\) in a bounded domain \(\Omega\) with smooth boundary, where \(\lambda _m\) is an eigenvalue of the Laplacian operator in \(\Omega\) with Dirichlet boundary data. They treat the doubly resonant case, both at infinity and zero, \(\lim_{t\to 0}f(x,t)/t= \lim_{t\to \infty}
Perera, Kanishka, Schechter, Martin
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Global Positive Solutions of Semilinear Elliptic Equations

Canadian Journal of Mathematics, 1983
The semilinear elliptic boundary value problem1.1will be considered in an exterior domain Ω ⊂ Rn, n ≥ 2, with boundary ∂Ω ∊ C2 + α, 0 < α < 1, where1.2Di = ∂/∂xi, i = 1, …, n. The coefficients aij, bi in (1.2) are assumed to be real-valued functions defined in Ω ∪ ∂Ω such that each , , and (aij(x)) is uniformly positive definite in every bounded ...
Noussair, Ezzat S., Swanson, Charles A.
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Semilinear elliptic equations

2018
International ...
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ON THE EXISTENCE OF PERIODIC SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS

Russian Academy of Sciences. Sbornik Mathematics, 1994
Summary: Using a variational method, the existence of a solution of the equation \(-\Delta u=g(u)\) in \(\mathbb{R}^{N+1}\) is proved, periodic with respect to one variable and localized with respect to the remaining variables.
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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 Class of Semilinear Elliptic Equations on Groups of Polynomial Growth

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

On singular semilinear elliptic equations

2013
http://archive.org/details ...
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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 \(|x|\to R_2\).
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Semilinear Elliptic Equations

2020
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