Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities

Tsing San Hsu

doi:10.1016/j.na.2009.01.110

Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities

Tsing San Hsu^*

^*Corresponding author for this work

Center for General Education

Research output: Contribution to journal › Journal Article › peer-review

89 Scopus citations

Abstract

In this paper, we consider a quasilinear elliptic system with both concave-convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.

Original language	English
Pages (from-to)	2688-2698
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	7-8
DOIs	https://doi.org/10.1016/j.na.2009.01.110
State	Published - 01 10 2009

Keywords

Concave-convex
Critical Sobolev exponent
Elliptic system
Nehari manifold

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10.1016/j.na.2009.01.110

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title = "Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities",

abstract = "In this paper, we consider a quasilinear elliptic system with both concave-convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.",

keywords = "Concave-convex, Critical Sobolev exponent, Elliptic system, Nehari manifold",

author = "Hsu, \{Tsing San\}",

year = "2009",

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AU - Hsu, Tsing San

PY - 2009/10/1

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N2 - In this paper, we consider a quasilinear elliptic system with both concave-convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.

AB - In this paper, we consider a quasilinear elliptic system with both concave-convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.

KW - Concave-convex

KW - Critical Sobolev exponent

KW - Elliptic system

KW - Nehari manifold

UR - https://www.scopus.com/pages/publications/67349100214

U2 - 10.1016/j.na.2009.01.110

DO - 10.1016/j.na.2009.01.110

M3 - 文章

AN - SCOPUS:67349100214

SN - 0362-546X

VL - 71

SP - 2688

EP - 2698

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 7-8

ER -

Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities

Abstract

Keywords

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