Results 11 to 20 of about 720 (91)
Advances in Nonlinear Analysis, 2023 We establish fine bounds for best constants of the fractional subcritical Sobolev embeddings W0s,p(Ω)↪Lq(Ω),{W}_{0}^{s,p}(\Omega )\hspace{0.33em}\hookrightarrow \hspace{0.33em}{L}^{q}(\Omega ), where N≥1N\ge 1 ...
Cassani Daniele, Du Lele
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
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
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
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
Fractional Hardy-Sobolev equations with nonhomogeneous terms
Advances in Nonlinear Analysis, 2021 This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity:
Bhakta Mousomi +2 more
doaj +1 more source