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.
Magrone, P., Mataloni, S. (2003). Multiple solutions for perturbed indefinite semilinear elliptic equations. ADVANCES IN DIFFERENTIAL EQUATIONS, 8, 1107-1124.
Multiple solutions for perturbed indefinite semilinear elliptic equations
MAGRONE, Paola;
2003-01-01
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.File in questo prodotto:
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