A remark on the uniqueness of fundamental solutions to the -Laplacian equation, .

Laurençot, Ph.

Displaying similar documents to “A remark on the uniqueness of fundamental solutions to the $p$ -Laplacian equation, $p > 2$ .”

Existence, non-existence and regularity of radial ground states for p-laplacian equations with singular weights

Patrizia Pucci, Raffaella Servadei (2008)

Annales de l'I.H.P. Analyse non linéaire

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Existence and asymptotic behaviour of positive solutions for some nonlinear parabolic systems in the half-space.

Ghanmi, Abdeljabbar, Toumi, Faten (2011)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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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).