Multiplicity of Positive Solutions for a - -Laplacian Type Equation with Critical Nonlinearities

Tsing-San Hsu and Huei-Li Lin

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for a - -Laplacian equation. Under suitable assumptions for and , we should prove that for sufficiently small , there exist at least positive solutions of the following - -Laplacian equation, , where is a bounded smooth domain, , , is the critical Sobolev exponent, and is the -Laplacian of .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:829069

DOI: 10.1155/2014/829069

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