Abstract Here, the anisotropic $(p, q) $-Laplacian $-\sum\limits_ {i= 1}^ N\frac
{\partial}{\partial x_i}\left (\left|\frac {\partial u}{\partial x_i}\right|^{p_i-2}\frac {\partial u}{\partial …

Using genus theory, the existence of infinitely many solutions for an anisotropic equation
involving the subcritical growth is proved. Also, by using Krasnoselskii genus and Clark's …

A competing anisotropic (p, q)-Laplacian−∑ i= 1 N∂∂ xi (|∂ u∂ xi| pi− 2− μ|∂ u∂ xi| qi−
2)∂ u∂ xi= f (x, ϕ⋆ u,∇(ϕ⋆ u)) as a nonstandard Dirichlet problem with convolutions on a …

Here, the existence and approximation results for degenerated anisotropic (p, q)-Laplacian
with weights−∑ i= 1 N∂∂ xi ((a (x)|∂ u∂ xi| pi− 2+ b (x)|∂ u∂ xi| qi− 2)∂ u∂ xi)= f (x, u,∇ …

In this manuscript, existence and multiplicity results are obtained for a problem involving an
anisotropic (p, q)-Laplacian-type operator by means of sub-supersolutions and variational …

This manuscript explores the existence of solutions for a quasilinear nonlocal system that
incorporates the p-Laplacian operator. The system considered arise in relevant applications …

In this manuscript an existence result for an anisotropic variable problem which is related to
several applications is proved. By considering suitable hypotheses, the multiplicity of …

In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary
conditions of the type−∑ i= 1 N∂/∂ xiaix,∂ u/∂ xi+ bxup M x− 2 u= f 1 x, u− sgn ug 1 x in …

This paper discusses the existence of positive solutions for a class of nonlocal problems of
Kirchhoff-type involving Orlicz spaces. Our approach utilizes a sub-supersolution method …

Here, a weighted anisotropic p-Laplace equation-Δ ap→ u+ V (x)| x|-ap∗| u| p+-2 u= f (u), in
RN is considered where Δ ap→ u:=∑ i= 1 N∂∂ xi| x|-api∂ u∂ xipi-2∂ u∂ xi, the potential …