Existence and Multiplicity of Nonnegative Solutions for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions | Zendy

Jincheng Huang | Zendy

Open Access

Existence and Multiplicity of Nonnegative Solutions for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions

Author(s) -

Jincheng Huang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/834918

Subject(s) - mathematics , multiplicity (mathematics) , nonlinear system , mathematical analysis , mathematical proof , boundary value problem , domain (mathematical analysis) , boundary (topology) , pure mathematics , geometry , physics , quantum mechanics

Existence and multiplicity results are established for quasilinear elliptic problems with nonlinear boundary conditions in an exterior domain. The proofs combine variational methods with a fibering map, due to the competition between the different growths of the nonlinearity and nonlinear boundary term

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