Perturbations near resonance for the -Laplacian in .

Ma, To Fu; Pelicer, Maurício Luciano

Displaying similar documents to “Perturbations near resonance for the $p$ -Laplacian in $ℝ^{N}$ .”

Existence of solutions for a class of elliptic systems in $ℝ^{N}$ involving the $(p (x), q (x))$ -Laplacian.

Ogras, S., Mashiyev, R.A., Avci, M., Yucedag, Z. (2008)

Journal of Inequalities and Applications [electronic only]

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A positive solution for an asymptotically linear elliptic problem on $ℝ^{N}$ autonomous at infinity

Louis Jeanjean, Kazunaga Tanaka (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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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...