Infinitely many sign-changing solutions for a semilinear elliptic equation with variable exponent

Abstract

This paper is devoted to study a class of semilinear elliptic equations with variable exponent. By means of perturbation technique, variational methods and a priori estimation, the existence of infinitely many sign-changing solutions to this class of problem is obtained.

Keywords

• semilinear elliptic equation
• variable exponent
• variational methods
• a priori estimate
• sign-changing solution