Existence and multiplicity of solutions for $p(x)$ -Laplacian problem with Steklov boundary
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We consider the p (x)-Laplacian Robin eigenvalue problem {-Δ _ p (x) u= λ V (x)| u|^ q (x)-2
u,\quad x ∈ Ω,\| ∇ u|^ p (x)-2 ∂ u ∂ ν+ β (x)| u|^ p (x)-2 u= 0,\quad x ∈ ∂ Ω,.-Δ p (x) u= λ V …

Abstract By applying Mountain Pass Lemma and Ekeland's variational principle, we prove
two different situations of the existence of solutions for the following Robin problem− Δ p (x) …

On the Robin Problem with Indefinite Weight in Sobolev Spaces with Variable Exponents Page
1 Zeitschrift für Analysis und ihre Anwendungen c European Mathematical Society Journal of …

Some Results for Robin type Problem Involving p(x)−Laplacian Page 1 Filomat 36:6 (2022),
2105–2117 https://doi.org/10.2298/FIL2206105O Published by Faculty of Sciences and …

This article considers p (x)-Kirchhoff type problems with Robin boundary conditions. Using
the mountain pass theorem, the Ekeland's variational principle, and Krasnoselskii's genus …

Abstract By applying Mountain Pass Lemma, Ekeland's variational principle and Fountain
Theorem, we prove the existence and multiplicity of solutions for the following Robin …

In this paper, we consider a class of px-Kirhhoff type problems with Robin boundary
conditions and indefinite weights. Under some suitable conditions on the nonlinearities, we …

We are concerned with the following p (x) p(x)-Laplacian equations in RN R^N−△ p (x) u+|
u| p (x)− 2 u= f (x, u) in RN.-\triangle _ p (x) u+| u|^ p (x)-2 u= f (x, u)\quad in R^ N. The …

Abstract Using Mountain Pass Theorem, we consider the existence of weak solutions of
weighted Robin problem involving p.-biharmonic operator ax Δ px 2 u= λ b (x) uq (x)-2 u, in …