We study the existence of solutions for the boundary value problem {− Δ pu= λ b (x)| u| γ− 1
u+ α α+ β a (x)| u| α− 1 u| v| β in S∖ S 0,− Δ qv= ν c (x)| v| γ− 1 v+ β α+ β a (x)| u| α| v| β− 1 v in …

We are interested in looking for two nontrivial solutions for a class of nonhomogeneous
quasilinear elliptic system with sign-changing weight functions and concave-convex …

In this paper, we demonstrate several properties, such as Fredholm, non-compactness of the
complex-valued fractal operator associated with the complex-valued fractal functions, which …

We study the existence of weak solutions for the following boundary value problem-Δ pu= α
α+ β a (x)| u| α-2 u| v| β in S\S 0,-Δ pv= β α+ β a (x)| u| α| v| β-2 v in S\S 0, v= u= 0 in S 0 …

In this paper, we study the following boundary value problem involving the weak p p-
Laplacian.− M (∥ u∥ E pp) Δ pu= h (x, u) in S∖ S 0; u= 0 on S 0,-M\bigl (‖ u ‖ _ E _ p …

Let SS be the Sierpiński gasket in ℝ 2 R^ 2 and S 0 S _0 denote the boundary of S S. In this
paper, we study the following non‐homogeneous pp‐Laplacian equation− Δ pu= λ| u| q− 2 …

In this paper we study the following boundary value problem involving the weak p-
Laplacian.\begin {equation*}\quad-M (\| u\| _ {\mathcal {E} _p}^ p)\Delta_p u= h (x, u)\;\text …