[PDF][PDF] Weak solutions for double phase problem driven by the (p (x), q (x))-Laplacian operator under Dirichlet boundary conditions

M El Ouaarabi, C Allalou, S Melliani - Boletim da Sociedade …, 2023 - researchgate.net
Mohamed El Ouaarabi∗, Chakir Allalou, Said Melliani abstract: In the present paper, in view
of the topological degree methods and the theory of the variable exponent Sobolev spaces …

Quasilinear double phase problems in the whole space via perturbation methods

B Ge, P Pucci - Advances in Differential Equations, 2022 - projecteuclid.org
We are concerned with the following double phase problems in the whole space $$\begin
{aligned}-{\rm div}(|\nabla u|^{p-2}\nabla u+ &\mu (x)|\nabla u|^{q-2}\nabla u)\\&+| u|^{p-2} …

On a class of double-phase problem without Ambrosetti–Rabinowitz-type conditions

B Ge, LY Wang, JF Lu - Applicable Analysis, 2021 - Taylor & Francis
We study the following double-phase problem− div (|∇ u| p− 2∇ u+ a (x)|∇ u| q− 2∇ u)= λ f
(x, u), in Ω, u= 0, on∂ Ω, where N≥ 2 and 1< p< q< N. The aim is to determine the precise …

Quasilinear double phase problems with parameter dependent performance on the whole space

B Ge, WS Yuan - Bulletin des Sciences Mathématiques, 2024 - Elsevier
This paper concerns with a class of double phase problem depending of one real parameter
on the whole space. Under some appropriate assumptions, we obtain the existence of at …

Existence of weak solutions for Kirchhoff type double‑phase problem in &R

A Arora, G Dwivedi - Mathematical Methods in the Applied …, 2024 - ui.adsabs.harvard.edu
This article aims to study the existence of weak solutions for the Kirchhoff type double‑phase
problem imagewhere and is a real parameter. The main distinctive feature of this problem …

Renormalized non-negative solutions for the double phase Dirichlet problems with L1 data

B Ge, Q Cao, Y Zhang - Journal of Mathematical Physics, 2023 - pubs.aip.org
Renormalized non-negative solutions for the double phase Dirichlet problems with L1 data |
Journal of Mathematical Physics | AIP Publishing Skip to Main Content Umbrella Alt Text …

Existence and multiplicity of solutions for a quasilinear double phase problem on the whole space

JH Shen, LY Wang, K Chi, B Ge - Complex Variables and Elliptic …, 2023 - Taylor & Francis
Full article: Existence and multiplicity of solutions for a quasilinear double phase problem
on the whole space Skip to Main Content Taylor and Francis Online homepage Taylor and …

Existence results for singular double phase problem with variable exponents

A Arora, G Dwivedi - Mediterranean Journal of Mathematics, 2023 - Springer
The goal of this paper is to prove the existence of two weak solutions for the following
problem:-div (|∇ u| p (x)-2∇ u+ μ (x)|∇ u| q (x)-2∇ u)= λ h (x) u-η (x)+ ξ (x)| u| s (x)-2 u in Ω …

Existence Result for a Double Phase Problem Involving the (p(x), q(x))-Laplacian Operator

ME Ouaarabi, C Allalou, S Melliani - Mathematica Slovaca, 2023 - degruyter.com
The Dirichlet boundary value problem for elliptic equations involving the (p (x), q (x))-
Laplacian operator with a reaction term depending on the gradient and on two real …

The Nehari manifold for double‐phase problems with convex and concave nonlinearities

QH Cao, B Ge, YT Zhang - Mathematische Nachrichten, 2024 - Wiley Online Library
The Nehari manifold for double‐phase problems with convex and concave nonlinearities - Cao
- 2024 - Mathematische Nachrichten - Wiley Online Library Skip to Article Content Skip to Article …