Solitary waves for coupled nonlinear elliptic system with nonhomogeneous nonlinearities
type: Item
instance of: scholarly article
title: Solitary waves for coupled nonlinear elliptic system with nonhomogeneous nonlinearities
zbMATH Open document ID: 1370.35130
author: Jun Wang
published in: Calculus of Variations and Partial Differential Equations
publication date: 2017-05-15T00:00:00Z
review text: The aim of this paper is to prove the existence, nonexistence and multiplicity of nontrivial solutions of some coupled nonlinear elliptic systems with nonhomogeneous nonlinearities by applying Morse theory, direct analysis methods and the Krasnosel'skii-Rabinowitz global bifurcation theorem. Further, the asymptotical behavior of positive solutions is studied, and some properties of such solutions are established. Moreover, comparing to previous works on the homogenous case, the author combines the Mountain-Pass theorem in convex sets and the Nehari constraint method to prove the existence and multiplicity of nontrivial solutions in the nonhomogeneous case.
reviewed by: Said El Manouni
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 6715637
zbMATH Keywords: coupled nonlinear elliptic systems, nonhomogeneous nonlinearities
MaRDI profile type: Publication
full work available at URL: s00526-017-1147-3
OpenAlex ID: W2595458137
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DOI: 10.1007/S00526-017-1147-3
description: scientific article; zbMATH DE number 6715637