[PDF][PDF] Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrodinger-Kirchhoff-type

NC Eddine, PD Nguyen, MA Ragusa - Math. Methods Appl. Sci, 2023 - iris.unict.it
In recent years, anisotropic partial differential equations have gained attention from several
researchers due to their applicability in various fields of science. For example, in the early …

Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger–Kirchhoff‐type

N Chems Eddine, P Duc Nguyen… - … Methods in the …, 2023 - Wiley Online Library
In this article, we obtain the existence and infinitely many nontrivial solutions for a class of
nonlinear critical anisotropic elliptic equations involving variable exponents and two real …

On a class of critical Schröinger-Kirchhoff-type problems involving anisotropic variable exponent

J Zuo, M Allalou, A Raji - Discrete and Continuous Dynamical …, 2024 - aimsciences.org
ON A CLASS OF CRITICAL SCHROINGER-KIRCHHOFF-TYPE PROBLEMS INVOLVING
ANISOTROPIC VARIABLE EXPONENT Jiabin Zuo ∗1 , Mouad All Page 1 Discrete and …

Existence results for an anisotropic nonlocal problem involving critical and discontinuous nonlinearities

GCG dos Santos, LS Tavares - Complex Variables and Elliptic …, 2021 - Taylor & Francis
In this paper, we are interested in the existence of solutions to the anisotropic nonlocal
problem {(P) δ}−∑ i= 1 N∂∂ xi∂ u∂ xipi− 2∂ u∂ xi=∫ Ω F (x, u) rf (x, u)+ δ| u| p∗− 2 u in …

Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities

GCG dos Santos, JRS Silva, SCQ Arruda… - … Variables and Elliptic …, 2022 - Taylor & Francis
In this paper, we are interested in existence and multiplicity of solutions to anisotropic elliptic
equations of Kirchhoff-type given by L (u)= λ∫ Ω F (x, u) rf (x, u)+| u| p∗− 2 u in Ω, u= 0 on∂ …

Infinite sharp conditions by Nehari manifolds for nonlinear Schrödinger equations

W Lian, J Shen, R Xu, Y Yang - The Journal of Geometric Analysis, 2020 - Springer
We study the Cauchy problem of nonlinear Schrödinger equation i φ _t+ Δ φ+| φ|^ p-1 φ= 0 i
φ t+ Δ φ+| φ| p-1 φ= 0. By constructing infinite Nehari manifolds with geometric features, we …

Iterative reconstruction algorithms for solving the Schrödinger equations on conical spaces

JW Ndiaye - Analysis and Mathematical Physics, 2022 - Springer
We consider a system of Schrödinger equations on conical spaces. We first rewrite the
iterative reconstruction algorithms for two kinds of average Schrödinger functionals and …

Mountain pass solution for the weighted Dirichlet -problem

NH Alharthi, KS Albalawi, F Vetro - Boundary Value Problems, 2022 - Springer
We consider the Dirichlet boundary value problem for equations involving the (p (z), q (z))-
Laplacian operator in the principal part on an open bounded domain Ω⊂ R n. Here, the p (z) …

Explicit solutions of the Dirichlet–Schrödinger problem via the new cylindrical Poisson–Schrödinger kernel method

L Qiao - Forum Mathematicum, 2023 - degruyter.com
In this paper, we study the cylindrical Schrödinger operator and construct a modified
cylindrical Poisson–Schrödinger kernel, in analogy to the classical theory of the Laplacian in …

RETRACTED ARTICLE: Existence results for the general Schrödinger equations with a superlinear Neumann boundary value problem

Z Liu - Boundary Value Problems, 2019 - Springer
The main goal of this paper is to study the general Schrödinger equations with a superlinear
Neumann boundary value problem in domains with conical points on the boundary of the …