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May/June 2009 On pairs of positive solutions for a class of quasilinear elliptic problems
Lynnyngs Kelly Arruda, Ilma Marques
Differential Integral Equations 22(5/6): 575-585 (May/June 2009).

Abstract

We prove, by using bifurcation theory, the existence of at least two positive solutions for the quasilinear problem $-\Delta_p u = f(x,u)$ in $\Omega$, $u=0$ on $\partial \Omega$, where $N>p>1$ and $\Omega$ is a smooth bounded domain in $\mathbb{R}^N$, $N\geq2,$ and the non-linearity $f$ is a locally Lipschitz continuous function, among other assumptions.

Citation

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Lynnyngs Kelly Arruda. Ilma Marques. "On pairs of positive solutions for a class of quasilinear elliptic problems." Differential Integral Equations 22 (5/6) 575 - 585, May/June 2009.

Information

Published: May/June 2009
First available in Project Euclid: 20 December 2012

zbMATH: 1240.35206
MathSciNet: MR2501685

Subjects:
Primary: 35J92
Secondary: 35B32, 35J25

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.22 • No. 5/6 • May/June 2009
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