Infinitely Many Large Energy Solutions of Superlinear Schrödinger-maxwell Equations

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

Multi-bump Solutions for a Strongly Indefinite Semilinear Schrödinger Equation Without Symmetry or convexity Assumptions

In this paper, we study the following semilinear Schrödinger equation with periodic coefficient: −△u + V (x)u = f(x, u), u ∈ H1(RN). The functional corresponding to this equation possesses strongly indefinite structure. The nonlinear term f(x, t) satisfies some superlinear growth conditions and need not be odd or increasing strictly in t. Using a new variational reduction method and a generaliz...

Infinitely Many Solutions for Cubic Nonlinear Schrödinger Equations in Dimension Four

We extend Chen, Wei, and Yan’s constructions of families of solutions with unbounded energies ([5]) to the case of cubic nonlinear Schrödinger equations in the optimal dimension four.

A Multiplicity Result for the Linear Schrödinger-maxwell Equations with Negative Potential

In this paper it is proved the existence of a sequence of radial solutions with negative energy of the linear Schrödinger-Maxwell equations under the action of a negative potential. Ref. S.I.S.S.A. 20/2001/M (March 2001)

Infinitely many nontrivial solutions for a class of biharmonic equations via variant fountain theorems

In this paper, we investigate the existence of infinitely many solutions for a class of biharmonic equations where the nonlinearity involves a combination of superlinear and asymptotically linear terms. The solutions are obtained from a variant version of Fountain Theorem.