Generalized fountain theorem and application to strongly indefinite semilinear problems
Abstract By using the degree theory and the τ -topology of Kryszewski and Szulkin, we establish a version of the Fountain Theorem for strongly indefinite functionals. The abstract result will be applied for studying the existence of infinitely many solutions of two strongly indefinite semilinear problems including the semilinear Schrodinger equation.
In this paper, we obtain a $\alpha$-Suzuki fixed point theorem by using $C$ - class function on quasi metric spaces. Also we give an example which supports our main theorem.