Results 21 to 30 of about 152 (58)

A fractional Kirchhoff problem involving a singular term and a critical nonlinearity

Advances in Nonlinear Analysis, 2017
In this paper, we consider the following critical nonlocal problem:
Fiscella Alessio
doaj   +1 more source

Some remarks about the summability of nonlocal nonlinear problems

Advances in Nonlinear Analysis, 2015
In this note, we will study the problem (-Δ)psu = f(x) on Ω, u = 0 in ℝN∖Ω, where 0 < s < 1, (-Δ)ps is the nonlocal p-Laplacian defined below, Ω is a smooth bounded domain. The main point studied in this work is to prove, adapting the techniques used in [
Barrios Begoña, Peral Ireneo, Vita Stefano   +2 more
doaj   +1 more source

Ground-state solutions for fractional Kirchhoff-Choquard equations with critical growth

Advances in Nonlinear Analysis
We study the following fractional Kirchhoff-Choquard equation: a+b∫RN(−Δ)s2u2dx(−Δ)su+V(x)u=(Iμ*F(u))f(u),x∈RN,u∈Hs(RN),\left\{\begin{array}{l}\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{N}}{\left|{\left(-\Delta )}^{\frac{s}{2}}u\right|}
Yang Jie, Chen Haibo
doaj   +1 more source

Asymptotically linear magnetic fractional problems [PDF]

arXiv, 2023
The aim of this paper is investigating the existence and multiplicity of weak solutions to non--local equations involving the {\em magnetic fractional Laplacian}, when the nonlinearity is subcritical and asymptotically linear at infinity. We prove existence and multiplicity results by using variational tools, extending to the magnetic local and non ...
arxiv  

Two-scale convergence on forms in Riemannian manifolds and homogenization of an integral functional on Orlicz-Sobolev's spaces [PDF]

arXiv, 2023
We extend the concept of two-scale convergence on forms in Orlicz-Sobolev's spaces and we describe the homogenization for a family of integral functionals with convex and nonstandard growth integrands defined on the tangent bundle of a Remannian manifold.
arxiv  

Bounded solutions for a forced bounded oscillator without friction [PDF]

J. Differential Equations 256 (2014), 2013
Under the validity of a Landesman-Lazer type condition, we prove the existence of solutions bounded on the real line, together with their first derivatives, for some second order nonlinear differential equation of the form $\ddot u + g(u) = p(t)$, where the reaction term $g$ is bounded.
arxiv   +1 more source

Existence of three solutions for two quasilinear Laplacian systems on graphs

Demonstratio Mathematica
We deal with the existence of three distinct solutions for a poly-Laplacian system with a parameter on finite graphs and a (p,q)\left(p,q)-Laplacian system with a parameter on locally finite graphs. The main tool is an abstract critical point theorem in [
Pang Yan, Zhang Xingyong
doaj   +1 more source

A further improvement of a minimax theorem of Borenshtein and Shulman [PDF]

J. Nonlinear Convex Anal., 2 (2001), 279-283, 2004
I do improve a recent improvement (due to Saint Raymond) of a minimax theorem of Borenshtein and Shul'man, replacing a global compactness assumption by a local one.
arxiv  

On a $p(\cdot)$-biharmonic problem of Kirchhoff type involving critical growth [PDF]

arXiv, 2020
We establish a concentration-compactness principle for the Sobolev space $W^{2,p(\cdot)}(\Omega)\cap W_0^{1,p(\cdot)}(\Omega)$ that is a tool for overcoming the lack of compactness of the critical Sobolev imbedding. Using this result we obtain several existence and multiplicity results for a class of Kirchhoff type problems involving $p(\cdot ...
arxiv  

A note on quasi-equilibrium problems [PDF]

arXiv, 2017
The purpose of this paper is to prove the existence of solutions of quasi-equilibrium problems without any generalized monotonicity assumption. Additionally, we give an application to quasi-optimization problems.
arxiv