Results 21 to 30 of about 1,368 (124)

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 and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions

, 2012
In this article, we study the nonlocal p(x)-Laplacian problem of the following form a(∫Ω1p(x)(|∇u|p(x)+|u|p(x))dx)(-div(|∇u|p(x)-2∇u)+|u|p(x)-2u)=b(∫ΩF(x,u)dx)f(x,u)inΩa∫Ω1p(x)(|∇u|p(x)+|u|p(x))dx|∇u|p(x)-2∂u∂ν=g(x,u)on∂Ω, where Ω is a smooth bounded ...
Erlin Guo, P. Zhao
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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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A Generalized Version of the Lions-Type Lemma

Annales Mathematicae Silesianae, 2023
In this short paper, I recall the history of dealing with the lack of compactness of a sequence in the case of an unbounded domain and prove the vanishing Lions-type result for a sequence of Lebesgue-measurable functions.
Chmara Magdalena
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Ground state solutions for Kirchhoff-type equations with a general nonlinearity in the critical growth

Advances in Nonlinear Analysis, 2018
In this paper, we concern ourselves with the following Kirchhoff-type equations:
Xu Li-Ping, Chen Haibo
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Multiple solutions for a Kirchhoff-type equation with general nonlinearity

Advances in Nonlinear Analysis, 2018
This paper is devoted to the study of the following autonomous Kirchhoff-type equation:
Lu Sheng-Sen
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Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type via genus theory

, 2014
In this paper, we study the following fourth-order elliptic equations of Kirchhoff type: △2u−(a+b∫R3|∇u|2dx)△u+V(x)u=f(x,u), in R3, u∈H2(R3), where a,b>0 are constants, we have the potential V(x):R3→R and the nonlinearity f(x,u):R3×R→R.
Liping Xu, Haibo Chen
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Noncoercive resonant (p,2)-equations with concave terms

Advances in Nonlinear Analysis, 2018
We consider a nonlinear Dirichlet problem driven by the sum of a p-Laplace and a Laplacian (a (p,2){(p,2)}-equation). The reaction exhibits the competing effects of a parametric concave term plus a Caratheodory perturbation which is resonant with respect
Papageorgiou Nikolaos S., Zhang Chao
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