Boureanu, Maria-Magdalena2021-07-202021-07-202006-08-22Boureanu, M. M. (2006). Existence of solutions for an elliptic equation involving the p(x)-Laplace operator. <i>Electronic Journal of Differential Equations, 2006</i>(97), pp. 1-10.1072-6691https://hdl.handle.net/10877/13970In this paper we study an elliptic equation involving the p(x)-Laplace operator on the whole space ℝN. For that equation we prove the existence of a nontrivial weak solution using as main argument the mountain pass theorem of Ambrosetti and Rabinowitz.Text10 pages1 file (.pdf)enAttribution 4.0 Internationalp(x)-Laplace operatorSobolev space with variable exponentMountain Pass TheoremWeak solutionArticle