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Existence of multiple non-trivial solutions for nonlinear p-Laplacian problems on ℝN

Published online by Cambridge University Press:  14 November 2011

Aiwen Wu
Aiwen Wu
Affiliation:
Graduate School of Polymathematics, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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Extract

We shall prove multiplicity of non-trivial solutions for the following p-Laplacian problems

where f(x,u) is continuous, periodic in x and has superlinear growth in u.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 4 , 1999 , pp. 855 - 883
Copyright
Copyright © Royal Society of Edinburgh 1999

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