Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations.

Mihăilescu, Mihai

Displaying similar documents to “Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations.”

Multiple radially symmetric solutions for a quasilinear eigenvalue problem.

Mezei, Ildikó-Ilona (2009)

Acta Universitatis Sapientiae. Mathematica

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A class of $p$ - $q$ -Laplacian type equation with potentials eigenvalue problem in $ℝ^{N}$ .

Wu, Mingzhu, Yang, Zuodong (2009)

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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...