Note on an anisotropic -Laplacian equation in .

El Manouni, Said

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In this paper we establish the existence of a positive solution for an asymptotically linear elliptic problem on $ℝ^{N}$ . The main difficulties to overcome are the lack of a priori bounds for Palais–Smale sequences and a lack of compactness as the domain is unbounded. For the first one we make use of techniques introduced by Lions in his work on concentration compactness. For the second we show how the fact that the “Problem at infinity” is autonomous, in contrast to just periodic, can be...

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Displaying similar documents to “Note on an anisotropic p -Laplacian equation in ℝ n .”

Displaying similar documents to “Note on an anisotropic $p$ -Laplacian equation in $ℝ^{n}$ .”