Multiple positive solutions of quasilinear elliptic equations in R{double-struck}N

Tsing san Hsu; Huei li Lin; Chung Che Hu

doi:10.1016/j.jmaa.2011.11.010

Multiple positive solutions of quasilinear elliptic equations in R{double-struck}^N

Tsing san Hsu
, Huei li Lin^*
, Chung Che Hu

^*Corresponding author for this work

Division of Natural Science

National Tsing Hua University

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

18 Scopus citations

Abstract

In this paper, by using the idea of category, we investigate how the shape of the graph of f(z) affects the number of positive solutions of -δ_pu+λ|u|^p-2u=f(z)|u|^q-2u+h(z) in R{double-struck}^N.

Original language	English
Pages (from-to)	500-512
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	388
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2011.11.010
State	Published - 01 04 2012

Keywords

Category
Multiple positive solutions
Quasilinear elliptic equations

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10.1016/j.jmaa.2011.11.010

Cite this

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title = "Multiple positive solutions of quasilinear elliptic equations in R\{double-struck\}N",

abstract = "In this paper, by using the idea of category, we investigate how the shape of the graph of f(z) affects the number of positive solutions of -δpu+λ|u|p-2u=f(z)|u|q-2u+h(z) in R\{double-struck\}N.",

keywords = "Category, Multiple positive solutions, Quasilinear elliptic equations",

author = "Hsu, \{Tsing san\} and Lin, \{Huei li\} and Hu, \{Chung Che\}",

year = "2012",

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language = "英语",

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AU - Hsu, Tsing san

AU - Lin, Huei li

AU - Hu, Chung Che

PY - 2012/4/1

Y1 - 2012/4/1

N2 - In this paper, by using the idea of category, we investigate how the shape of the graph of f(z) affects the number of positive solutions of -δpu+λ|u|p-2u=f(z)|u|q-2u+h(z) in R{double-struck}N.

AB - In this paper, by using the idea of category, we investigate how the shape of the graph of f(z) affects the number of positive solutions of -δpu+λ|u|p-2u=f(z)|u|q-2u+h(z) in R{double-struck}N.

KW - Category

KW - Multiple positive solutions

KW - Quasilinear elliptic equations

UR - https://www.scopus.com/pages/publications/84455208202

U2 - 10.1016/j.jmaa.2011.11.010

DO - 10.1016/j.jmaa.2011.11.010

M3 - 文章

AN - SCOPUS:84455208202

SN - 0022-247X

VL - 388

SP - 500

EP - 512

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Multiple positive solutions of quasilinear elliptic equations in R{double-struck}^N

Abstract

Keywords

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