Existence and multiplicity of positive solutions to a $p$-Laplacian equation in $\Bbb R^N$

By Claudianor Oliveira Alves, Giovany M. Figueiredo. Differential and Integral Equations, 2006

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. In this work we study the existence, multiplicity and concentration of positive solutions for the following class of problem where Δ p u is the p-Laplacian operator, (cid:2) is a positive parameter, 2 ≤ p < N, V : R N → R is a continuous functions and f : R → R is a function of C 1 class.

Subfields: Applied Mathematics, Mathematical Physics

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