Electron. J. Diff. Equ., Vol. 2011 (2011), No. 95, pp. 1-6.

Existence results for a p-Laplacian problem with competing nonlinearities and nonlinear boundary conditions

Dimitrios A. Kandilakis, Manolis Magiropoulos

Abstract:
By using the fibering method we study the existence of non-negative solutions for a class of quasilinear elliptic problems in the presence of competing subcritical nonlinearities.

Submitted July 14, 2010. Published July 28, 2011.
Math Subject Classifications: 35J60, 35J92, 35J25.
Key Words: Quasilinear elliptic problems; subcritical nonlinearities; fibering method.

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Dimitrios A. Kandilakis
Department of Sciences
Technical University of Crete
73100 Chania, Greece
email: dkan@science.tuc.gr
Manolis Magiropoulos
Department of Sciences
Technological Educational Institute of Crete
71500 Heraklion, Greece
email: mageir@staff.teicrete.gr

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