Elliptic boundary-value problems with discontinuous nonlinearities
type: Item
instance of: scholarly article
title: Elliptic boundary-value problems with discontinuous nonlinearities
zbMATH Open document ID: 0843.35034
DOI: 10.1007/BF01038598
author: Salvatore A. Marano
published in: Set-Valued Analysis
publication date: 1995-11-14T00:00:00Z
review text: The author studies existence of weak solutions of semilinear elliptic equations with discontinuous nonlinearities. The abstract framework is the one of analysis of set-valued mappings. Nonlinearities having a set of discontinuities with Lebesgue measure zero and which in some sense are below the first eigenvalue of the Laplace operator under Dirichlet boundary conditions are treated. The author also gets some estimates on the Laplacian of the solutions.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35R70
zbMATH DE Number: 815981
zbMATH Keywords: discontinuous nonlinearities
zbMATH Keywords: set-valued mappings
reviewed by: José Valdo A. Gonçalves
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01038598
OpenAlex ID: W2069258396
description: scientific article; zbMATH DE number 815981