Variational approach for a Steklov problem involving nonstandard growth conditions

Yucedag, Zehra2024-04-242024-04-2420232473-6988https://doi.org/10.3934/math.2023269https://hdl.handle.net/11468/19432The aim of this paper is to study the multiplicity of solutions for a nonlocal p(x)-Kirchhoff type problem with Steklov boundary value in variable exponent Sobolev spaces. We prove the existence of at least three solutions and a nontrivial weak solution of the problem, using the Ricceri's three critical points theorem together with Mountain Pass theorem.eninfo:eu-repo/semantics/openAccessVariational MethodsP(X)-Kirchhoff Type EquationSteklov Boundary ValueRicceri?S Critical Points TheoremWeak SolutionVariational approach for a Steklov problem involving nonstandard growth conditionsVariational approach for a Steklov problem involving nonstandard growth conditionsArticle8353525368WOS:0008994065000032-s2.0-8514408474910.3934/math.2023269Q1N/A