Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential

Tsing-San Hsu

doi:10.1186/1687-2770-2012-116

Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential

Tsing-San Hsu

Center for General Education

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

Abstract

In this paper, we consider singular elliptic systems involving a strongly coupled critical potential and concave nonlinearities. By using variational methods and analytical techniques, the existence and multiplicity of positive solutions to the system are established.

Original language	American English
Journal	Boundary Value Problems
DOIs	https://doi.org/10.1186/1687-2770-2012-116
State	Published - 2012

Keywords

Palais-Smale condition
Nehari manifold
strongly coupled
elliptic system
critical potential
CRITICAL SOBOLEV EXPONENTS
CHANGING WEIGHT FUNCTION
CONCAVE-CONVEX NONLINEARITIES
HARDY EXPONENTS
EQUATIONS
TERMS

Access to Document

10.1186/1687-2770-2012-116

Cite this

@article{9dcebba1bbb84197b8b877d04f4d525d,

title = "Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential",

abstract = "In this paper, we consider singular elliptic systems involving a strongly coupled critical potential and concave nonlinearities. By using variational methods and analytical techniques, the existence and multiplicity of positive solutions to the system are established.",

keywords = "Palais-Smale condition, Nehari manifold, strongly coupled, elliptic system, critical potential, CRITICAL SOBOLEV EXPONENTS, CHANGING WEIGHT FUNCTION, CONCAVE-CONVEX NONLINEARITIES, HARDY EXPONENTS, EQUATIONS, TERMS",

author = "Tsing-San Hsu",

year = "2012",

doi = "10.1186/1687-2770-2012-116",

language = "American English",

journal = "Boundary Value Problems",

issn = "1687-2762",

publisher = "SpringerOpen",

}

TY - JOUR

T1 - Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential

AU - Hsu, Tsing-San

PY - 2012

Y1 - 2012

N2 - In this paper, we consider singular elliptic systems involving a strongly coupled critical potential and concave nonlinearities. By using variational methods and analytical techniques, the existence and multiplicity of positive solutions to the system are established.

AB - In this paper, we consider singular elliptic systems involving a strongly coupled critical potential and concave nonlinearities. By using variational methods and analytical techniques, the existence and multiplicity of positive solutions to the system are established.

KW - Palais-Smale condition

KW - Nehari manifold

KW - strongly coupled

KW - elliptic system

KW - critical potential

KW - CRITICAL SOBOLEV EXPONENTS

KW - CHANGING WEIGHT FUNCTION

KW - CONCAVE-CONVEX NONLINEARITIES

KW - HARDY EXPONENTS

KW - EQUATIONS

KW - TERMS

U2 - 10.1186/1687-2770-2012-116

DO - 10.1186/1687-2770-2012-116

M3 - Journal Article

SN - 1687-2762

JO - Boundary Value Problems

JF - Boundary Value Problems

ER -

Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential

Abstract

Keywords

Access to Document

Fingerprint

Cite this