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Existence and multiplicity of solutions for superquadratic noncooperative variational elliptic systems.
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Some remarks on a multiplicity result by Mawhin and Schmitt
Badiale Marino, Lupo Daniela. Some remarks on a multiplicity result by Mawhin and Schmitt. In: Bulletin de la Classe des sciences, tome 75, 1989. pp. 210-224
A bifurcation result for a Dirichlet problem with discontinuous nonlinearity. Rend. Circ. Mat. Palermo (2) 38 (1989), no. 2, 305--318.
A note on a resonance problem
SynopsisIn this paper, we prove the existence of at least one solution to the problemwhere ∆k is an eigenvalue of the linear part, h is orthogonal to the eigenspace corresponding to ∆R and g is a nonlinear perturbation which can be, for instance, a continuous periodic real function with mean value zero. We employ the techniques used by the second author in a previous paper in which the same result was obtained in the case in which ∆R is assumed to be simple. The final result is obtained by using variational methods and in particular a suitable version of the saddle point theorem of P. Rabinowitz.</jats:p
On generalized periodic solutions of some nonlinear telegraph and beam equations. 36(111) (1986), no. 3, 434--449.
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