Advances in Differential Equations

Multiple solutions for perturbed indefinite semilinear elliptic equations

Paola Magrone and Silvia Mataloni

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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.

Article information

Adv. Differential Equations, Volume 8, Number 9 (2003), 1107-1124.

First available in Project Euclid: 19 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J60: Nonlinear elliptic equations
Secondary: 35J20: Variational methods for second-order elliptic equations 35J25: Boundary value problems for second-order elliptic equations 47J30: Variational methods [See also 58Exx] 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)


Magrone, Paola; Mataloni, Silvia. Multiple solutions for perturbed indefinite semilinear elliptic equations. Adv. Differential Equations 8 (2003), no. 9, 1107--1124.

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