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Zbl 1147.35038
Filippucci, Roberta; Pucci, Patrizia; Rădulescu, Vicenţiu
Existence and non-existence results for quasilinear elliptic exterior problems with nonlinear boundary conditions. (English)
[J] Commun. Partial Differ. Equations 33, No. 4, 706-717 (2008). ISSN 0360-5302; ISSN 1532-4133/e

Summary: 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.

MSC 2000:: *35J65 (Nonlinear) BVP for (non)linear elliptic equations
35J60 Nonlinear elliptic equations
35D05 Existence of generalized solutions of PDE
35J35 Higher order elliptic equations, variational problems
58E05 Abstract critical point theory

Keywords: existence and non-existence results; exterior domain; nonlinear boundary condition; quasilinear elliptic equation

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