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September/October 2009 On positive solutions of quasilinear elliptic equations
Nguyen Hoang Loc, Klaus Schmitt
Differential Integral Equations 22(9/10): 829-842 (September/October 2009).

Abstract

In 1981, Peter Hess established a multiplicity result for solutions of boundary-value problems for nonlinear perturbations of the Laplace operator. The sufficient conditions given were later shown to be also necessary by Dancer and the second author. In this paper, we show that similar (and slightly more general) results hold when the Laplace operator is replaced by the $p-$Laplacian. Some applications to singular problems are given, as well.

Citation

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Nguyen Hoang Loc. Klaus Schmitt. "On positive solutions of quasilinear elliptic equations." Differential Integral Equations 22 (9/10) 829 - 842, September/October 2009.

Information

Published: September/October 2009
First available in Project Euclid: 20 December 2012

zbMATH: 1240.35210
MathSciNet: MR2553058

Subjects:
Primary: 35J92
Secondary: 35B45

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.22 • No. 9/10 • September/October 2009
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