Existence of solutions for non-necessarily cooperative systems involving Schrödinger operators.

Cardoulis, Laure

Displaying similar documents to “Existence of solutions for non-necessarily cooperative systems involving Schrödinger operators.”

Existence of positive solutions for some polyharmonic nonlinear equations in $ℝ^{n}$ .

Mâagli, Habib, Zribi, Malek (2006)

Abstract and Applied Analysis

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On the periodicity of a difference equation with maximum.

Gelisken, Ali, Cinar, Cengiz, Yalcinkaya, Ibrahim (2008)

Discrete Dynamics in Nature and Society

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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).