Infinitely many small solutions for a modified nonlinear Schrödinger equations

Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations

existence of infinitely many solutions for coupled system of schrödinger-maxwell's equations

A VARIATIONAL APPROACH TO THE EXISTENCE OF INFINITELY MANY SOLUTIONS FOR DIFFERENCE EQUATIONS

The existence of infinitely many solutions for an anisotropic discrete non-linear problem with variable exponent according to p(k)–Laplacian operator with Dirichlet boundary value condition, under appropriate behaviors of the non-linear term, is investigated. The technical approach is based on a local minimum theorem for differentiable functionals due to Ricceri. We point out a theorem as a spe...

Infinitely Many Periodic Solutions of Nonlinear Wave Equations on S

The existence of time periodic solutions of nonlinear wave equations utt −∆nu + ` n− 1 2 ́2 u = g(u)− f(t, x) on n-dimensional spheres is considered. The corresponding functional of the equation is studied by the convexity in suitable subspaces, minimax arguments for almost symmetric functional, comparison principles and Morse theory. The existence of infinitely many time periodic solutions is o...

Infinitely Many Solutions for a Class of Sublinear Schrödinger Equations

where V : R → R and f : R × R → R. In the past several decades, the existence and multiplicity of nontrivial solutions for problem (1.1) have been extensively investigated in the literature with the aid of critical point theory and variational methods. Many papers deal with the autonomous case where the potential V and the nonlinearity f are independent of x, or with the radially symmetric case...