Results 11 to 20 of about 694 (86)

Self-Similar Blow-Up Profiles for a Reaction-Diffusion Equation with Strong Weighted Reaction

open access: yesAdvanced Nonlinear Studies, 2020
We study the self-similar blow-up profiles associated to the following second-order reaction-diffusion equation with strong weighted reaction and unbounded weight:
Iagar Razvan Gabriel, Sánchez Ariel
doaj   +1 more source

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

open access: yesAdvances 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

open access: yesAdvances 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

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

open access: yes, 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   +2 more
core   +4 more sources

Conformal Metrics with Constant Q-Curvature [PDF]

open access: yes, 2007
We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant $Q$-curvature. The problem is variational, and solutions are in general found as critical points of saddle type.
Malchiodi, Andrea
core   +8 more sources

From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem [PDF]

open access: yes, 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

open access: yesAdvances 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

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

open access: yesAdvances 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

open access: yesAdvances 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

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

open access: yes, 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   +1 more
core   +4 more sources

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