Existence and uniqueness of solutions of nonlinear Neumann problems
type: Item
instance of: scholarly article
title: Existence and uniqueness of solutions of nonlinear Neumann problems
zbMATH Open document ID: 0633.35042
DOI: 10.1007/BF01159655
published in: Mathematische Zeitschrift
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173965
review text: Existence of non-trivial solutions is proved by means of upper and lower solutions. The solutions are then classified and uniqueness is obtained in certain classes. The results are optimal in the sense that our conditions are necessary and sufficient. We also deduce existence results for problems in \({\mathbb{R}}^ N\). Related papers are by the authors [Trans. Am. Math. Soc. 303, 487-501 (1987; Zbl 0633.35041)] and by \textit{J. Spruck} [Commun. Partial Differ. Equations 8, 1605-1620 (1983; Zbl 0534.35055)].
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 4030071
zbMATH Keywords: nonlinear Neumann problems
zbMATH Keywords: existence
zbMATH Keywords: upper and lower solutions
zbMATH Keywords: uniqueness
author: Catherine Bandle
author: Maria Assunta Pozio
author: Alberto Tesei
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4030071