Results 11 to 20 of about 671 (67)

Nontrivial solution for Klein-Gordon equation coupled with Born-Infeld theory with critical growth

Advances in Nonlinear Analysis, 2023
In this article, we study the following system: −Δu+V(x)u−(2ω+ϕ)ϕu=λf(u)+∣u∣4u,inR3,Δϕ+βΔ4ϕ=4π(ω+ϕ)u2,inR3,\left\{\begin{array}{ll}-\Delta u+V\left(x)u-\left(2\omega +\phi )\phi u=\lambda f\left(u)+| u{| }^{4}u,& \hspace{0.1em}\text{in}\hspace{0.1em ...
He Chuan-Min, Li Lin, Chen Shang-Jie
doaj   +1 more source

Nonlinear elliptic–parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent

Advances in Nonlinear Analysis, 2023
We consider the nonlinear elliptic–parabolic boundary value problem involving the Dirichlet-to-Neumann operator of p-Laplace type at the critical Sobolev exponent.
Deng Yanhua, Tan Zhong, Xie Minghong
doaj   +1 more source

A global compactness result with applications to a Hardy-Sobolev critical elliptic system involving coupled perturbation terms

Advances in Nonlinear Analysis, 2022
In this article, we study a Hardy-Sobolev critical elliptic system involving coupled perturbation terms: (0.1)−Δu+V1(x)u=η1η1+η2∣u∣η1−2u∣v∣η2∣x′∣+αα+βQ(x)∣u∣α−2u∣v∣β,−Δv+V2(x)v=η2η1+η2∣v∣η2−2v∣u∣η1∣x′∣+βα+βQ(x)∣v∣β−2v∣u∣α,\left\{\begin{array}{c}-\Delta u+
Wang Lu Shun, Yang Tao, Yang Xiao Long
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

Fine bounds for best constants of fractional subcritical Sobolev embeddings and applications to nonlocal PDEs

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

Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials [PDF]

, 2010
In this paper we deal with nonnegative distributional supersolutions for a class of linear elliptic equations involving inverse-square potentials and logarithmic weights.
Fall, Mouhamed Moustapha, Musina, Roberta   +1 more
core   +4 more sources

Standing waves to upper critical Choquard equation with a local perturbation: Multiplicity, qualitative properties and stability

Advances in Nonlinear Analysis, 2022
In this article, we consider the upper critical Choquard equation with a local perturbation −Δu=λu+(Iα∗∣u∣p)∣u∣p−2u+μ∣u∣q−2u,x∈RN,u∈H1(RN),∫RN∣u∣2=a,\left\{\begin{array}{l}-\Delta u=\lambda u+\left({I}_{\alpha }\ast | u\hspace{-0.25em}{| }^{p})| u\hspace{
Li Xinfu
doaj   +1 more source

On sufficient “local” conditions for existence results to generalized p(.)-Laplace equations involving critical growth

Advances in Nonlinear Analysis, 2022
In this article, we study the existence of multiple solutions to a generalized p(⋅)p\left(\cdot )-Laplace equation with two parameters involving critical growth.
Ho Ky, Sim Inbo
doaj   +1 more source

On the global existence for the axisymmetric Euler equations [PDF]

, 2007
This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in some critical Besov spacesComment: 14 ...
Abidi, Hammadi, Hmidi, Taoufik, Keraani, Sahbi   +2 more
core   +3 more sources

Shooting with degree theory: Analysis of some weighted poly-harmonic systems [PDF]

, 2014
In this paper, the author establishes the existence of positive entire solutions to a general class of semilinear poly-harmonic systems, which includes equations and systems of the weighted Hardy--Littlewood--Sobolev type.
Villavert, John
core   +1 more source