Perturbations near resonance for the -Laplacian in .
Ma, To Fu, Pelicer, Maurício Luciano (2002)
Abstract and Applied Analysis
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Ma, To Fu, Pelicer, Maurício Luciano (2002)
Abstract and Applied Analysis
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Motreanu, Dumitru, Rădulescu, Vicenţiu (2005)
Boundary Value Problems [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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Poulou, Marilena N., Stavrakakis, Nikolaos M. (2005)
International Journal of Mathematics and Mathematical Sciences
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Chen, Chao-Nien, Tzeng, Shyuh-yaur (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Varga, Csaba (2005)
Journal of Inequalities and Applications [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...
Mezei, Ildikó-Ilona (2009)
Acta Universitatis Sapientiae. Mathematica
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Yu, Chen, Yongqing, Li (2009)
Boundary Value Problems [electronic only]
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