Radially symmetric solutions for a class of critical exponent elliptic problems in .

Alves, C.O.; de Morais Filho, D.C.; Souto, M.A.S.

Displaying similar documents to “Radially symmetric solutions for a class of critical exponent elliptic problems in $ℝ^{N}$ .”

Solutions to perturbed eigenvalue problems of the $p$ -Laplacian in $ℝ^{N}$ .

Bezerra do Ó, João Marcos (1997)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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A note on the Cahn-Hilliard equation in $H^{1} (ℝ^{N})$ involving critical exponent

Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)

Mathematica Bohemica

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We consider the Cahn-Hilliard equation in $H^{1} (ℝ^{N})$ with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as $| u | \to \infty$ and logistic type nonlinearities. In both situations we prove the $H^{2} (ℝ^{N})$ -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).