Existence and multiplicity of positive solutions for a class of nonlinear elliptic problems

We study the existence and multiplicity of nonnegative solutions for the nonlinear elliptic problem, -D u+v(x)u=a(x)up+l f(x,u) for x\inW and u=0 on \partialW, where W is a bounded region in RN, N>2, 1

Anahtar Kelimeler:

Nehari manifold, critical point, nonlinear elliptic boundary value problem, Palais-Smale sequence

Existence and multiplicity of positive solutions for a class of nonlinear elliptic problems

Keywords:

Nehari manifold, critical point, nonlinear elliptic boundary value problem, Palais-Smale sequence,

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