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A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions

Dimitrios A. Kandilakis; Manolis Magiropoulos — 2006

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

We provide an existence result for a system of quasilinear equations subject to nonlinear boundary conditions on a bounded domain by using the fibering method.

A $p$ -Laplacian system with resonance and nonlinear boundary conditions on an unbounded domain

Dimitrios A. Kandilakis; Manolis Magiropoulos — 2007

Commentationes Mathematicae Universitatis Carolinae

We study a nonlinear elliptic system with resonance part and nonlinear boundary conditions on an unbounded domain. Our approach is variational and is based on the well known Landesman-Laser type conditions.

A subsolution-supersolution method for quasilinear systems.

Kandilakis, Dimitrios A.; Magiropoulos, Manolis — 2005

Electronic Journal of Differential Equations (EJDE) [electronic only]

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