Journal
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume 33, Issue 4, Pages 706-717Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03605300701518208
Keywords
existence and non-existence results; exterior domain; nonlinear boundary condition; quasilinear elliptic equation
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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 nonlinearities.
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