This paper is concerned with the existence of saddle type solutions for a class of semilinear elliptic equations of the type −∆u(x)+Fu(x,u) = 0, x ∈ Rn, n ≥ 2, (PDE) where F is a periodic and symmetric nonlinearity. Under a non degen- eracy condition on the set of minimal periodic solutions, saddle type solutions of (PDE) are found by a renormalized variational procedure.
SADDLE TYPE SOLUTIONS FOR A CLASS OF REVERSIBLE ELLIPTIC EQUATIONS / Alessio, FRANCESCA GEMMA; Autuori, Giuseppina; Montecchiari, Piero. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - STAMPA. - 21:1-2(2016), pp. 1-30.
SADDLE TYPE SOLUTIONS FOR A CLASS OF REVERSIBLE ELLIPTIC EQUATIONS
ALESSIO, FRANCESCA GEMMA
;AUTUORI, GIUSEPPINA;MONTECCHIARI, Piero
2016-01-01
Abstract
This paper is concerned with the existence of saddle type solutions for a class of semilinear elliptic equations of the type −∆u(x)+Fu(x,u) = 0, x ∈ Rn, n ≥ 2, (PDE) where F is a periodic and symmetric nonlinearity. Under a non degen- eracy condition on the set of minimal periodic solutions, saddle type solutions of (PDE) are found by a renormalized variational procedure.File in questo prodotto:
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