Characterization of solutions to equations involving the p(x)-Laplace operator
Uta, Vasile Florin
Texas State University, Department of Mathematics
In this article we study two problems, a nonlinear eigenvalue problem involving the p(x)-Laplacian and a subcritical boundary value problem for the same operator. We work on the variable exponent Sobolev spaces and use one of the variants of the Mountain-Pass Lemma.
Nonlinear eigenvalue problem, p(x)-Laplacian, Critical point, Variable exponent Sobolev spaces, Mountain-pass theorem
Stircu, I. D., & Uţă, V. F. (2017). Characterization of solutions to equations involving the p(x)-Laplace operator. <i>Electronic Journal of Differential Equations, 2017</i>(273), pp. 1-16.