01535nas a2200253 i 4500 acta88884 20251119101857.0 251119s2025 hu o 000 eng d 1417-3875 10.14232/ejqtde.2025.1.4 doi SZTE Egyetemi Kiadványok Repozitórium hun eng Abdou Aboubacar Multiple solutions for a parametric Steklov problem involving the p(x)-Laplacian operator [elektronikus dokumentum] / Abdou Aboubacar 2025 27 Electronic journal of qualitative theory of differential equations In this paper, we study the existence and multiplicity of weak solutions for a Steklov problem involving p(x)-Laplacian operator in a bounded domain Ω ⊂ RN (N ≥ 2) with smooth boundary ∂Ω. The boundary equation is perturbed with some weight functions belonging to approriate generalized Lebesgue spaces and two real parameters. Our arguments are based on variational method, using “Mountain Pass Theorem”, “Fountain Theorem” and “Dual Fountain Theorem” combined with the critical points theory, we prove several existence results. Természettudományok Matematika Steklov-probléma, p(x)-Laplace-operátor, Sobolev-tér, Mountain Pass-tétel, Fountain-tétel, Dual Fountain-tétel Karimou Gazibo Mohamed aut Marcos Aboubacar aut http://acta.bibl.u-szeged.hu/88884/1/ejqtde_2025_004.pdf Dokumentum-elérés