Results 241 to 250 of about 92,595 (298)

Properties of a least-energy solution to a semilinear elliptic equation with exponential nonlinearity (Progress in Variational Problems : Variational Methods in the Study of Evolution Equations)

, 2012
Atsushi Kosaka
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An Adaptive Multigrid Method for Semilinear Elliptic Equations

East Asian Journal on Applied Mathematics, 2019
An adaptive multigrid method for semilinear elliptic equations based on adaptive multigrid methods and on multilevel correction methods is developed.
Fei Xu, Qiumei Huang, Shuangshuang Chen, Tao Bing   +3 more
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Semilinear Elliptic Equations

, 2020
Takashi Suzuki
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Nonexistence results for semilinear elliptic equations on weighted graphs

Mathematische Annalen, 2023
We study semilinear elliptic inequalities with a potential on infinite graphs. Given a distance on the graph, we assume an upper bound on its Laplacian, and a growth condition on a suitable weighted volume of balls. Under such hypotheses, we prove that
D. Monticelli, F. Punzo, Jacopo Somaglia
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Uniqueness of continuation for semilinear elliptic equations

Partial Differential Equations and Applications, 2022
We quantify the uniqueness of continuation from Cauchy or interior data. Our approach consists in extending the existing results in the linear case. As by product, we obtain a new stability estimate in the linear case.
M. Choulli
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G-convergence and semilinear elliptic equations

Asymptotic Analysis, 1991
We study the behavior of positive solutions of semilinear elliptic equations −div(aε(x)Duε=g(uε) with homogeneous Dirichlet boundary data, with respect to the G-convergence of the elliptic matrices aε. Here the function g has a subcritical or critical growth with respect to Sobolev imbedding.
DALL'AGLIO, Andrea, TCHOU N. A.
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On a semilinear elliptic equation in Hn

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009
We prove existence/nonexistence and uniqueness of positive entire solutions for some semilinear elliptic equations on the Hyperbolic space.
Mancini, Gianni, Sandeep, Kunnath
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On some Semilinear Elliptic Equations

AIP Conference Proceedings, 2009
In this paper we study the third type boundary value problem for a Semilinear Elliptic Equation. Here the existence of the weak solution for the considered problem is proved and also the uniqueness of the solution of the considered problem, in a model case, is proved.
Kerime Kalli, Kamal N. Soltanov, Theodore E. Simos, George Psihoyios, Ch. Tsitouras   +4 more
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Nonexistence of positive supersolutions to a class of semilinear elliptic equations and systems in an exterior domain

Science China Mathematics, 2018
In this paper, we consider the following semilinear elliptic equation: {−Δu=h(x,u)inΩ,u⩾0on∂Ω,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
Huyuan Chen, Rui Peng, F. Zhou
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Asymptotic Theory of Singular Semilinear Elliptic Equations

Canadian Mathematical Bulletin, 1984
AbstractNecessary and sufficient conditions are found for the existence of two positive solutions of the semilinear elliptic equation Δu + q(|x|)u = f(x, u) in an exterior domain Ω⊂ℝn, n ≥ 1, where q, f are real-valued and locally Hölder continuous, and f(x, u) is nonincreasing in u for each fixed x∈Ω. An example is the singular stationary Klein-Gordon
Kusano, Takasi, Swanson, Charles A.
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