High energy positive solution for mixed and Neumann elliptic problems with critical nonlinearity
type: Item
instance of: scholarly article
title: High energy positive solution for mixed and Neumann elliptic problems with critical nonlinearity
zbMATH Open document ID: 0888.35039
DOI: 10.1007/BF02788020
author: Giovanna Cerami
author: Donato Passaseo
published in: Journal d'Analyse Mathématique
publication date: 1998-06-08T00:00:00Z
review text: The authors consider the problem \[ -\Delta u+ a(x)u= u^\gamma,\quad u>0\quad\text{in }\Omega,\quad u= 0\quad\text{on }\Gamma_0,\quad {\partial u\over\partial n}= 0\quad\text{on }\Gamma_1, \] where \(\Omega\subset\mathbb{R}^N\), \(\gamma= 2N/(N-2)\), \(\Gamma_1\neq\emptyset\), \(a\in L^{N/2}(\Omega)\) is a nonnegative function. They prove existence and multiplicity results for a special class of functions \(a(x)\).
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 1038436
zbMATH Keywords: critical Sobolev exponent
zbMATH Keywords: existence
zbMATH Keywords: multiplicity
reviewed by: René Sperb
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02788020
OpenAlex ID: W2023392900
description: scientific article; zbMATH DE number 1038436