### 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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Patrizia Pucci, Raffaella Servadei (2008)

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

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Ghanmi, Abdeljabbar, Toumi, Faten (2011)

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

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

Mathematica Bohemica

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We consider the Cahn-Hilliard equation in ${H}^{1}\left({\mathbb{R}}^{N}\right)$ with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as $\left|u\right|\to \infty $ and logistic type nonlinearities. In both situations we prove the ${H}^{2}\left({\mathbb{R}}^{N}\right)$-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).

Mâagli, Habib, Zribi, Malek (2006)

Abstract and Applied Analysis

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Bezerra do Ó, João Marcos (1997)

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

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Anne-Laure Dalibard (2006)

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

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Novotny, Antonin (1997)

Portugaliae Mathematica

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Adriano Pisante (2006)

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

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