The study of fourth order partial differential equations has flourished in the last years,
however, ap (⋅)-biharmonic problem with no-flux boundary condition has never been …

The Leray-Lions operators are versatile enough to be particularized to various elliptic
operators, so they receive a lot of attention. This paper introduces to the mathematical …

In this paper, we study ap (x)-biharmonic equation with Navier boundary condition {Δ p (x) 2
u+ a (x)| u| p (x)− 2 u= λ f (x, u)+ μ g (x, u) in Ω, u= Δ u= 0 on∂ Ω. Here Ω⊂ RN (N≥ 1) is a …

Partial Differential Equations. – Existence of two non-zero weak solutions for a p./-biharmonic
problem with Navier boundary c Page 1 Rend. Lincei Mat. Appl. 34 (2023), 727–743 DOI …

This paper deals with the existence of a solution of a problem involving Leray–Lions type
operators in Sobolev spaces with variable exponent. The proofs of our main results combine …

In this paper, we consider a nonlinear beam equation with the p (x)-biharmonic operator,
where the exponent p (x) is a given function. We transform the problem into a system of two …

In this paper, we establish the existence of at least two distinct weak solutions for fourth-
order PDEs with variable exponents, subject to Navier boundary conditions in a smooth …

In this article, we study the existence of solutions for nonlocal p (x)‐biharmonic Kirchhoff‐
type problem with Navier boundary conditions. By different variational methods, we …

Existence of Two Non-zero Weak Solutions for a Nonlinear Navier Boundary Value Problem
Involving the $p$-Biharmonic | Acta Applicandae Mathematicae Skip to main content …

Fourth order equations have attracted many author's interest in different area of applied
mathematics and physics. The interest in studying such problems arise in many applications …