Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝ N

Huei Li Lin

doi:10.1186/1687-2770-2012-24

Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝ ^N

Huei Li Lin^*

^*Corresponding author for this work

Center for General Education

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

2 Scopus citations

Abstract

In this article, we investigate the effect of the coefficient f(z) of the sub-critical nonlinearity. For sufficiently large γ > 0, there are at least k + 1 positive solutions of the semilinear elliptic equations (Equation presented) where 1 ≤ q < 2 <p < 2 ^* = 2N/(N - 2) for N ≥ 3.

Original language	English
Article number	24
Journal	Boundary Value Problems
Volume	2012
DOIs	https://doi.org/10.1186/1687-2770-2012-24
State	Published - 2012

Keywords

Concave and convex
Positive solutions
Semilinear elliptic equations

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10.1186/1687-2770-2012-24

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title = "Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝ N ",

abstract = "In this article, we investigate the effect of the coefficient f(z) of the sub-critical nonlinearity. For sufficiently large γ > 0, there are at least k + 1 positive solutions of the semilinear elliptic equations (Equation presented) where 1 ≤ q < 2 * = 2N/(N - 2) for N ≥ 3.",

keywords = "Concave and convex, Positive solutions, Semilinear elliptic equations",

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year = "2012",

doi = "10.1186/1687-2770-2012-24",

language = "英语",

volume = "2012",

journal = "Boundary Value Problems",

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AU - Lin, Huei Li

PY - 2012

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N2 - In this article, we investigate the effect of the coefficient f(z) of the sub-critical nonlinearity. For sufficiently large γ > 0, there are at least k + 1 positive solutions of the semilinear elliptic equations (Equation presented) where 1 ≤ q < 2 * = 2N/(N - 2) for N ≥ 3.

AB - In this article, we investigate the effect of the coefficient f(z) of the sub-critical nonlinearity. For sufficiently large γ > 0, there are at least k + 1 positive solutions of the semilinear elliptic equations (Equation presented) where 1 ≤ q < 2 * = 2N/(N - 2) for N ≥ 3.

KW - Concave and convex

KW - Positive solutions

KW - Semilinear elliptic equations

UR - https://www.scopus.com/pages/publications/84866636069

U2 - 10.1186/1687-2770-2012-24

DO - 10.1186/1687-2770-2012-24

M3 - 文章

AN - SCOPUS:84866636069

SN - 1687-2762

VL - 2012

JO - Boundary Value Problems

JF - Boundary Value Problems

M1 - 24

ER -

Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝ ^N

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Keywords

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