Abstract and Applied Analysis

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

Jincheng Huang

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 834918, 7 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512160

Digital Object Identifier
doi:10.1155/2013/834918

Mathematical Reviews number (MathSciNet)
MR3132552

Citation

Huang, Jincheng. Existence and Multiplicity of Nonnegative Solutions for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions. Abstr. Appl. Anal. 2013 (2013), Article ID 834918, 7 pages. doi:10.1155/2013/834918. https://projecteuclid.org/euclid.aaa/1393512160


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