Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems.
Chen, Chao-Nien, Tzeng, Shyuh-yaur (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Chen, Chao-Nien, Tzeng, Shyuh-yaur (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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de Morais Filho, D.C., Miyagaki, O.H. (2005)
Abstract and Applied Analysis
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Souto, Marco A. S. (2002)
Abstract and Applied Analysis
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Louis Jeanjean, Kazunaga Tanaka (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we establish the existence of a positive solution for an asymptotically linear elliptic problem on . The main difficulties to overcome are the lack of a priori bounds for Palais–Smale sequences and a lack of compactness as the domain is unbounded. For the first one we make use of techniques introduced by Lions in his work on concentration compactness. For the second we show how the fact that the “Problem at infinity” is autonomous, in contrast to just periodic, can be...
Ogras, S., Mashiyev, R.A., Avci, M., Yucedag, Z. (2008)
Journal of Inequalities and Applications [electronic only]
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da Silva, Edcarlos D. (2010)
Abstract and Applied Analysis
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Paul H. Rabinowitz (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations
Martin Schechter, Wenming Zou (2003)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we establish a variant and generalized weak linking theorem, which contains more delicate result and insures the existence of bounded Palais–Smale sequences of a strongly indefinite functional. The abstract result will be used to study the semilinear Schrödinger equation , where are periodic in for and 0 is in a gap of the spectrum of ; . If for an appropriate constant , we show that this equation has a nontrivial solution.
Antonio Gaudiello, Rejeb Hadiji (2009)
Annales de l'I.H.P. Analyse non linéaire
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