Multiple positive solutions for nonhomogeneous elliptic equations

S. Adachi; K. Tanaka

doi:10.1016/S0362-546X(01)00497-7

Multiple positive solutions for nonhomogeneous elliptic equations

S. Adachi^*, K. Tanaka

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

4 Citations (Scopus)

Abstract

The existence of multiple positive solutions for nonhomogeneous elliptic equations was studied. Radially symmetric solutions for a large class of nonlinearities were obtained. It was observed that the forcing term together with interactive estimates was useful for obtaining the Palais-Smale condition.

Original language	English
Pages (from-to)	3783-3793
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	47
Issue number	6
DOIs	https://doi.org/10.1016/S0362-546X(01)00497-7
Publication status	Published - 2001 Aug

Keywords

Concentration-compactness principle
Positive solutions
Semilinear elliptic equations
Variational methods

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0362-546X(01)00497-7

Cite this

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title = "Multiple positive solutions for nonhomogeneous elliptic equations",

abstract = "The existence of multiple positive solutions for nonhomogeneous elliptic equations was studied. Radially symmetric solutions for a large class of nonlinearities were obtained. It was observed that the forcing term together with interactive estimates was useful for obtaining the Palais-Smale condition.",

keywords = "Concentration-compactness principle, Positive solutions, Semilinear elliptic equations, Variational methods",

author = "S. Adachi and K. Tanaka",

year = "2001",

month = aug,

doi = "10.1016/S0362-546X(01)00497-7",

language = "English",

volume = "47",

pages = "3783--3793",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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AU - Adachi, S.

AU - Tanaka, K.

PY - 2001/8

Y1 - 2001/8

N2 - The existence of multiple positive solutions for nonhomogeneous elliptic equations was studied. Radially symmetric solutions for a large class of nonlinearities were obtained. It was observed that the forcing term together with interactive estimates was useful for obtaining the Palais-Smale condition.

AB - The existence of multiple positive solutions for nonhomogeneous elliptic equations was studied. Radially symmetric solutions for a large class of nonlinearities were obtained. It was observed that the forcing term together with interactive estimates was useful for obtaining the Palais-Smale condition.

KW - Concentration-compactness principle

KW - Positive solutions

KW - Semilinear elliptic equations

KW - Variational methods

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U2 - 10.1016/S0362-546X(01)00497-7

DO - 10.1016/S0362-546X(01)00497-7

M3 - Article

AN - SCOPUS:0035424656

SN - 0362-546X

VL - 47

SP - 3783

EP - 3793

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 6

ER -

Multiple positive solutions for nonhomogeneous elliptic equations

Abstract

Keywords

ASJC Scopus subject areas

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