TY - GEN N1 - Bibliogr.: p. 20-22. ; összefoglalás angol nyelven EP - 22 SN - 1417-3875 A1 - Aramaki Junichi Y1 - 2023/// CY - Szeged AV - public ID - acta82262 N2 - In this paper, we consider a mixed boundary value problem for nonuniformly elliptic equation in a variable exponent Sobolev space containing p(·)-Laplacian and mean curvature operator. More precisely, we are concerned with the problem with the Dirichlet condition on a part of the boundary and the Steklov boundary condition on an another part of the boundary. We show the existence of a nontrivial weak solution and at least two nontrivial weak solutions according to some hypotheses on given functions. UR - http://acta.bibl.u-szeged.hu/82262/ KW - Laplace-egyenlet KW - Sobolev tér TI - Existence of nontrivial weak solutions for nonuniformly elliptic equation with mixed boundary condition in a variable exponent Sobolev space ER -