Superlinear elliptic equations with unbalanced growth and nonlinear boundary condition
type: Item
instance of: scholarly article
title: Superlinear elliptic equations with unbalanced growth and nonlinear boundary condition
author: Eleonora Amoroso
author: Ángel Crespo-Blanco
author: Patrizia Pucci
author: Patrick Winkert
published in: Bulletin des Sciences Mathématiques
publication date: 2024-12-12T00:00:00Z
review text: The authors study a variable exponent double phase problem with a nonlinear boundary condition devoted to a variable exponent double phase operator. The existence of multiple solutions is shown by the use of the mountain pass theorem, Nehari manifolds, Brouwer degree and a quantitative deformation lemma. For this purpose a new equivalent norm in Musielak-Orlicz-Sobolev spaces is introduced.
reviewed by: Leszek Gasiński
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J62
zbMATH DE Number: 7957539
zbMATH Keywords: Brouwer degree
zbMATH Keywords: double phase operator
zbMATH Keywords: Nehari manifold
zbMATH Keywords: nonlinear boundary condition
zbMATH Keywords: nonstandard growth
zbMATH Keywords: sign-changing solution
MaRDI profile type: Publication
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DOI: 10.1016/J.BULSCI.2024.103534
description: scientific article; zbMATH DE number 7957539