This paper seeks to introduce a new class of fractional Orlicz-Sobolev space with variable-
order. We give basic properties of this space and prove some compactness results. Then …

In this paper, it is considered the existence of a solution for a nonlocal equation involving the
p-Laplacian operator which is related to several applications such as vibration problems …

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 …

We establish the existence of multiple solutions for singular quasilinear Lane–Emden type
systems with a precise sign information: two unique solutions of opposite constant sign and …

本文研究了一类具有Φ-Laplace 算子和奇异非线性项的拟线性椭圆型方程正解的存在性及相关
问题. 利用临界点理论, 截断技巧和比较原理, 证明了解的分歧性; 进一步得到了最小正解的存在 …

This paper is concerned with the existence and multiplicity of solutions for a class of
problems involving the Φ‐Laplacian operator with general assumptions on the …

In this paper, we discuss the more general Hessian inequality $\sigma_ {k}^{\frac
{1}{k}}(\lambda (D_i (A\left (| Du|\right) D_j u)))\geq f (u) $ including the Laplacian, p …