Results 261 to 270 of about 376,175 (295)

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.
openaire   +3 more sources

Two sequences of solutions for the semilinear elliptic equations with logarithmic nonlinearities

Journal of Differential Equations, 2023
W. Shuai
semanticscholar   +1 more source

Existence of semilinear elliptic equations with prescribed limiting behaviour

, 2016
In this paper, we consider semilinear elliptic equations of the form Δu + f(u) = 0 over a quarter space with Dirichlet boundary conditions. Given a suitable positive root z of f, we show how to construct a non‐negative bounded solution u converging to a ...
H. Ibrahim, E. Nasreddine
semanticscholar   +1 more source

Boundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential

Israel Journal of Mathematics, 2016
We study a nonlinear equation in the half-space {x1 > 0} with a Hardy potential, specifically −Δu−μx12u+up=0inℝ+n,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
C. Bandle, M. Marcus, Vitaly Moroz
semanticscholar   +1 more source

Semilinear elliptic equations for the fractional Laplacian involving critical exponential growth

, 2017
We establish the existence and multiplicity of weak solutions for a class of nonlocal equations involving the fractional Laplacian operator, nonlinearities with critical exponential growth, and potentials that may change sign. The proofs of our existence
Manassés X. de Souza, Yane Araújo
semanticscholar   +1 more source

Large solution for semilinear elliptic equations

2014
no ...
Dupaigne, L., Ghergu, M., Goubet, O., Warnault, Guillaume   +3 more
openaire   +4 more sources

Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations

Nonlinear Differential Equations and Applications NoDEA, 2020
Yasuhito Miyamoto, Y. Naito
semanticscholar   +1 more source

Semilinear elliptic equations with additive noise

2017
With temporal white noise, the solutions of stochastic parabolic equations have low regularity in time (Holder continuous with exponent 1∕2 −e and e > 0 is arbitrarily small) and thus the spectral approximation of Brownian motion leads to only half order convergence in its truncation mode n.
Zhongqiang Zhang, George Em Karniadakis
openaire   +2 more sources

Semilinear Elliptic Equations

, 2020
Takashi Suzuki
semanticscholar   +1 more source

New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker, Nwamaka D Eneanya, Josef Coresh   +2 more
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