We prove the existence of solutions for the following critical Choquard type problem with a
variable-order fractional Laplacian and a variable singular exponent a (-Δ) s (·) u+ b (-Δ) u …

The purpose of this article is to prove the existence of solution to a nonlinear nonlocal elliptic
problem with a singularity and a discontinuous critical nonlinearity, which is given as (− Δ) …

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 study the following fractional Schrödinger equation with discontinuous nonlinearity:{(−∆)
su+ V (ε x) u= H (u− β) f (u) in RN, u> 0 in RN, where ε, β> 0, s∈(0, 1), N> 2s, H is the …

An Existence Result for a Fractional Critical (p, q)-Laplacian Problem with Discontinuous
Nonlinearity | Mediterranean Journal of Mathematics Skip to main content SpringerLink …

The main purpose of this work is to study a non-local scalar field equation in bounded
domains. More precisely we consider the semi-linear fractional elliptic problem:(− Δ) su= λ …

In this paper, using variational methods, we show the existence of at least two nonnegative
solutions to a class of elliptic problems with fast increasing weights given by-Δ u-1 2 (x·∇ …

In this article, the problem to be studied is the following where Ω is a bounded regular
domain in RN (N≥ 2) containing the origin, p> 1, s∈(0, 1),(N> ps), 0≤ β< 1/c H where c H is …

Neste trabalho, estudamos a existência de soluções para uma classe de problemas
envolvendo um operador de crescimento rápido com peso e diferentes tipos de não …