American Institute of Mathematical Sciences

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2003, 2003(Special): 526-535. doi: 10.3934/proc.2003.2003.526

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  September 2002 Revised  March 2003 Published  April 2003

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 $\mathbb(R)^N.$
Keywords: nonlinear elliptic equations, degenerate equations, Ljusternik¨CSchnirelman category., variational methods.
Mathematics Subject Classification: Primary 35Q55, 35J20, 58E0.
Citation: Monica Lazzo. Existence and multiplicity results for a class of nonlinear elliptic problems in $\mathbb(R)^N$. Conference Publications, 2003, 2003 (Special) : 526-535. doi: 10.3934/proc.2003.2003.526
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