Volume 47, Issue 4
Infinitely Many Clark Type Solutions to a p(x)-Laplace Equation
10.4208/jms.v47n4.14.02

J. Math. Study, 47 (2014), pp. 379-387.

Preview Full PDF BiBTex 98 483
• Abstract

In this paper, the following p(x)-Laplacian equation: $Δ_{p(x)}u+V(x)|u|^{p(x)-2}u=Q(x) f (x,u)$, $x∈R^N$, is studied. By applying an extension of Clark's theorem, the existence of infinitely many solutions as well as the structure of the set of critical points near the origin are obtained.

• History

Published online: 2014-12

• Keywords