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1997 Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations
Filippo Gazzola, Bernhard Ruf
Adv. Differential Equations 2(4): 555-572 (1997).

Abstract

The solvability of semilinear elliptic equations with nonlinearities in the critical growth range depends on the terms with lower-order growth. We generalize some known results to a wide class of lower-order terms and prove a multiplicity result in the left neighborhood of every eigenvalue of $-\Delta$ when the subcritical term is linear. The proofs are based on variational methods; to assure that the considered minimax levels lie in a suitable range, special classes of approximating functions having disjoint support with the Sobolev ``concentrating" functions are constructed.

Citation

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Filippo Gazzola. Bernhard Ruf. "Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations." Adv. Differential Equations 2 (4) 555 - 572, 1997.

Information

Published: 1997
First available in Project Euclid: 23 April 2013

zbMATH: 1023.35508
MathSciNet: MR1441856

Subjects:
Primary: 35J65
Secondary: 35B20

Rights: Copyright © 1997 Khayyam Publishing, Inc.

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Vol.2 • No. 4 • 1997
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