2003 Multiple solutions for perturbed indefinite semilinear elliptic equations
Paola Magrone, Silvia Mataloni
Adv. Differential Equations 8(9): 1107-1124 (2003). DOI: 10.57262/ade/1355926581

Abstract

We are looking for infinitely many weak solutions for a semilinear elliptic equation with indefinite nonlinearity. The presence of an $L^2$ function perturbs the symmetry of the problem. The result is obtained using the approach introduced by Rabinowitz for positive nonlinearities.

Citation

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Paola Magrone. Silvia Mataloni. "Multiple solutions for perturbed indefinite semilinear elliptic equations." Adv. Differential Equations 8 (9) 1107 - 1124, 2003. https://doi.org/10.57262/ade/1355926581

Information

Published: 2003
First available in Project Euclid: 19 December 2012

zbMATH: 1290.35102
MathSciNet: MR1989291
Digital Object Identifier: 10.57262/ade/1355926581

Subjects:
Primary: 35J60
Secondary: 35J20 , 35J25 , 47J30 , 58E05

Rights: Copyright © 2003 Khayyam Publishing, Inc.

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Vol.8 • No. 9 • 2003
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