Stircu, IuliaUta, Vasile Florin2022-08-172022-08-172017-11-05Stircu, 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. 1-16.1072-6691https://hdl.handle.net/10877/16074In 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.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear eigenvalue problemp(x)-LaplacianCritical pointVariable exponent Sobolev spacesMountain-pass theoremCharacterization of solutions to equations involving the p(x)-Laplace operatorArticle