1,721,020 research outputs found
Positive and negative solutions of a quasi-linear elliptic equation by a Mountain Pass method and truncature techniques
No full textThe existence of a positive and a negative solution of a problem of the type - Deltau + f(x, u, delu) = 0 in Q. u = 0 on deltaOmega is proved, when f has a growth at infinity depending both on u and on delu. The techniques are based on an iterative scheme of Mountain Pass "approximated" solutions and the use of a suitable truncature method. (C) 2004 Elsevier Ltd. All rights reserved
Existence of periodic solutions for some second order quasilinear Hamiltonian systems
No full textA class of second order nonautonomous quasilinear Hamiltonian systems (S) is considered. We show that, for any T < T0, where T0 depends on the growth coefficients of the Hamiltonian function H, there exists a T-periodic and T/2-antiperiodic solution of the system (S) below, provided two symmetry conditions hold for H
Periodic solutions of prescribed minimal period for Hamiltonian systems: an extension of a theorem by Ekeland and Hofer to the nonconvex case
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Exitence and multiplicity results for periodic solutions of superquadratic Hamiltonian systems where the potential changes sign
No full textPeriodic solutions of second order nonautonomous systems with the potentials changing sign
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