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Existence and multiplicity results for semilinear equations with measure data

Object's details: Existence and multiplicity results for semilinear equations with measure data

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Provider:Akademicka Platforma Czasopism

Description

Title:
Existence and multiplicity results for semilinear equations with measure data
Creator:
Ferrero, Alberto;
Saccon, Claudio
Description:
In this paper, we study existence and nonexistence of solutions for the Dirichlet problem associated with the equation $-\Delta u=g(x,u)+\mu$ where $\mu$ is a Radon measure. Existence and nonexistence of solutions strictly depend on the nonlinearity $g(x,u)$ and suitable growth restrictions are assumed on it. Our proofs are obtained by standard arguments from critical theory and in order to find solutions of the equation, suitable functionals are introduced by mean of approximation arguments and iterative schemes.
Object availability:
free access
Rights:
Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
Date:
2006.12.01
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 28, No 2 (December 2006); 285 - 318;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.031/8878
Subject:
Dirichlet problem;
Radon measures;
critical point theory;
35J15;
35J20
Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.031
Data provider:
Akademicka Platforma Czasopism

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