Existence and non-existence results for quasilinear elliptic exterior problems with nonlinear boundary conditions

Details Existence and non-existence results for quasilinear elliptic exterior problems with nonlinear boundary conditions Existence and non-existence results for quasilinear elliptic exterior problems with nonlinear boundary conditions

2007-06-16

arxiv.org/abs/0706.2403v1

Mathematics

Analysis of PDEs

Communications in Partial Differential Equations, in press

Scientific paper

Existence and non-existence results are established for quasilinear elliptic
problems with nonlinear boundary conditions and lack of compactness. The proofs
combine variational methods with the geometrical feature, due to the
competition between the different growths of the non-linearities.

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