Displaying similar documents to “Remarks on inhomogeneous elliptic problems arising in astrophysics.”

Multiple solutions of semilinear elliptic systems

Yang Jianfu (1998)

Commentationes Mathematicae Universitatis Carolinae

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We obtain in this paper a multiplicity result for strongly indefinite semilinear elliptic systems in bounded domains as well as in N .

A note on the Cahn-Hilliard equation in H 1 ( 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 ( N ) with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as | u | and logistic type nonlinearities. In both situations we prove the H 2 ( 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).