Existence of solutions for non-necessarily cooperative systems involving Schrödinger operators.
Cardoulis, Laure (2001)
International Journal of Mathematics and Mathematical Sciences
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Cardoulis, Laure (2001)
International Journal of Mathematics and Mathematical Sciences
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Gelisken, Ali, Cinar, Cengiz, Yalcinkaya, Ibrahim (2008)
Discrete Dynamics in Nature and Society
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Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)
Mathematica Bohemica
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We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -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).
Jan Mařík (1994)
Mathematica Bohemica
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A compact set is constructed such that each horizontal or vertical line intersects in at most one point while the -dimensional measure of is infinite for every .