Results 11 to 20 of about 724 (90)
The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
Advances in Nonlinear Analysis, 2020 We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
doaj +1 more source
Remarks on the blow-up for the Schr\ [PDF]
, 2004 In this paper we concentrate on the analysis of the critical mass blowing-up solutions for the cubic focusing Schrodinger equation with Dirichlet boundary condi- tions, posed on a plane domain.
V. Banica
semanticscholar +1 more source
Advances in Differential Equations, 2014 This paper is concerned with a nonlocal reaction-diffusion equation with nonlocal source and interior absorption ut=∫RNJ(x−y)(u(y,t)−u(x,t))dy+λ∫Ωuqdx−up, x∈Ω, t>0, u(x,t)=0, x∉Ω, t≥0, u(x,0)=u0(x), x∈Ω.
Bing Gao, Jiashan Zheng
semanticscholar +2 more sources
Boundary Value Problems, 2014 We investigate the extinction properties of non-negative nontrivial weak solutions of the initial-boundary value problem for a p-Laplacian evolution equation with nonlinear gradient source and absorption terms.MSC:35K65, 35B33, 35B40.
Xianghui Xu, Z. Fang
semanticscholar +2 more sources
Advances in Nonlinear Analysis, 2021 We are concerned with a class of Choquard type equations with weighted potentials and Hardy–Littlewood–Sobolev lower critical ...
Zhou Shuai, Liu Zhisu, Zhang Jianjun
doaj +1 more source
From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem [PDF]
, 2014 The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of $N$ player games. Analysis of Nash equilibria is however a complex issue when the number of players is large.
Blanchet, Adrien, Carlier, Guillaume
core +6 more sources
A Liouville theorem for the Hénon-Lane-Emden system in four and five dimensions
Advanced Nonlinear Studies, 2022 In the present article, we investigate the following Hénon-Lane-Emden elliptic system: −Δu=∣x∣avp,x∈RN,−Δv=∣x∣buq,x∈RN,\left\{\begin{array}{ll}-\Delta u={| x| }^{a}{v}^{p},& x\in {{\mathbb{R}}}^{N},\\ -\Delta v={| x| }^{b}{u}^{q},& x\in {{\mathbb{R}}}^{N}
Li Hang
doaj +1 more source
Boundary Value Problems, 2013 Under the suitable assumptions, we establish the existence of nontrivial solutions for a perturbed p-Laplacian system in RN with critical nonlinearity and magnetic fields by using the variational method.MSC:35B33, 35J60, 35J65.
Huixing Zhang, Jiayin Liu, Wenbin Liu
semanticscholar +2 more sources
Advances in Nonlinear Analysis, 2023 This work is concerned with the nonexistence of nontrivial nonnegative weak solutions for a quasilinear parabolic differential inequality with weighted nonlocal source term in the whole space, which involves weighted polytropic filtration operator or ...
Li Yuepeng, Fang Zhong Bo
doaj +1 more source
Boundary Value Problems, 2014 In this paper, we deal with the existence and multiplicity of solutions for perturbed Schrödinger equation with electromagnetic fields and critical nonlinearity in RN: −ε2ΔAu(x)+V(x)u(x)=|u|2∗−2u+h(x,|u|2)u for all x∈RN, where ∇Au(x):=(∇+iA(x))u, V(x) is
Sihua Liang, Yueqiang Song
semanticscholar +2 more sources