Results 1 to 10 of about 2,421 (92)

Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction

Advances in Nonlinear Analysis, 2021
In the present paperwe study the existence of nontrivial solutions of a class of static coupled nonlinear fractional Hartree type system. First, we use the direct moving plane methods to establish the maximum principle(Decay at infinity and Narrow region
Wang Jun
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Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations

Advances in Nonlinear Analysis, 2022
In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u),    x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}.
Li Gui-Dong, Li Yong-Yong, Tang Chun-Lei
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On a weighted elliptic equation of N-Kirchhoff type with double exponential growth

Demonstratio Mathematica, 2022
In this work, we study the weighted Kirchhoff problem −g∫Bσ(x)∣∇u∣Ndxdiv(σ(x)∣∇u∣N−2∇u)=f(x,u)inB,u>0inB,u=0on∂B,\left\{\begin{array}{ll}-g\left(\mathop{\displaystyle \int }\limits_{B}\sigma \left(x)| \nabla u\hspace{-0.25em}{| }^{N}{\rm{d}}x\right){\rm ...
Abid Imed, Baraket Sami, Jaidane Rached
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Non-trivial solutions for Schrödinger-Poisson systems involving critical nonlocal term and potential vanishing at infinity

Open Mathematics, 2019
The present study is concerned with the following Schrödinger-Poisson system involving critical nonlocal ...
Shao Liuyang
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Constant sign and nodal solutions for superlinear (p, q)–equations with indefinite potential and a concave boundary term

Advances in Nonlinear Analysis, 2020
We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
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Generalized Picone inequalities and their applications to (p,q)-Laplace equations

Open Mathematics, 2020
We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the (p,q)(p,q)-Laplace-type operators.
Bobkov Vladimir, Tanaka Mieko
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Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent

Advances in Nonlinear Analysis, 2020
In this article, we consider a class of Kirchhoff equations with critical Hardy-Sobolev exponent and indefinite nonlinearity, which has not been studied in the literature. We prove very nicely that this equation has at least two solutions in ℝ3. And some
Shen Zupei, Yu Jianshe
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Existence results of infinitely many weak solutions of a singular subelliptic system on the Heisenberg group

Acta Universitatis Sapientiae: Mathematica, 2022
This article shows the existence and multiplicity of weak solutions for the singular subelliptic system on the Heisenberg group {-Δℍnu+a(ξ)u(|z|4+t2)12=λFu(ξ,u,v)in   Ω,-Δℍnv+b(ξ)v(|z|4+t2)12=λFv(ξ,u,v)in   Ω,u=v=0on  ∂Ω.\left\{ {\matrix{ { - {\Delta _{
Heidari S., Razani A.
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Nehari-type ground state solutions for a Choquard equation with doubly critical exponents

Advances in Nonlinear Analysis, 2020
This paper deals with the following Choquard equation with a local nonlinear perturbation:
Chen Sitong, Tang Xianhua, Wei Jiuyang
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Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space

Moroccan Journal of Pure and Applied Analysis, 2020
Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
Boumazourh Athmane, Srati Mohammed
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