Existence and multiplicity results for a class of nonlinear elliptic problems in $\mathbb(R)^N$

Monica Lazzo

doi:10.3934/proc.2003.2003.526

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2003, Volume 2003: 526-535. Doi: 10.3934/proc.2003.2003.526 open access

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Existence and multiplicity results for a class of nonlinear elliptic problems in $\mathbb(R)^N$

Monica Lazzo^1,

1.
Dipartimento di Matematica, Università di Bari, via Orabona 4, 70125 Bari

Received: August 31, 2002

Revised: February 28, 2003

Published: March 2003

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Abstract

We study the effect of non constant coefficients $a$ and $b$ on the existence and multiplicity of positive solutions for the equation -div $a(x)\nabla u + \lambda u = b|x|^(p-2)$ in $\mathbb(R)^N.$

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Mathematics Subject Classification: Primary 35Q55, 35J20, 58E05.

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Existence and multiplicity results for a class of nonlinear elliptic problems in $\mathbb(R)^N$

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