Multiple radially symmetric solutions for a quasilinear eigenvalue problem.
Mezei, Ildikó-Ilona (2009)
Acta Universitatis Sapientiae. Mathematica
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Mezei, Ildikó-Ilona (2009)
Acta Universitatis Sapientiae. Mathematica
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Mihăilescu, Mihai (2006)
Boundary Value Problems [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...
Bezerra do Ó, João Marcos (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lin, Huei-Li (2010)
International Journal of Differential Equations
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Calahorrano, Marco, Mena, Hermann (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Wu, Mingzhu, Yang, Zuodong (2009)
Boundary Value Problems [electronic only]
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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 .