Existence of solutions for a class of elliptic systems in involving the -Laplacian.
Ogras, S., Mashiyev, R.A., Avci, M., Yucedag, Z. (2008)
Journal of Inequalities and Applications [electronic only]
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Ogras, S., Mashiyev, R.A., Avci, M., Yucedag, Z. (2008)
Journal of Inequalities and Applications [electronic only]
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Yu, Chen, Yongqing, Li (2009)
Boundary Value Problems [electronic only]
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Ma, To Fu, Pelicer, Maurício Luciano (2002)
Abstract and Applied Analysis
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Severo, Uberlandio B. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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...
Xiaochun Liu, Jianfu Yang (2000)
Commentationes Mathematicae Universitatis Carolinae
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Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrödinger equations.
Souto, Marco A. S. (2002)
Abstract and Applied Analysis
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Afrouzi, G.A. (2005)
International Journal of Mathematics and Mathematical Sciences
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Weng, Shenghua, Li, Yongqing (2006)
Boundary Value Problems [electronic only]
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