Results 31 to 40 of about 724 (90)

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

Ground state solutions for a class of fractional Schrodinger-Poisson system with critical growth and vanishing potentials

open access: yesAdvances in Nonlinear Analysis, 2021
In this paper, we study the fractional Schrödinger-Poisson ...
Meng Yuxi, Zhang Xinrui, He Xiaoming
doaj   +1 more source

A system of equations involving the fractional p-Laplacian and doubly critical nonlinearities

open access: yesAdvanced Nonlinear Studies, 2023
This article deals with existence of solutions to the following fractional pp-Laplacian system of equations: (−Δp)su=∣u∣ps*−2u+γαps*∣u∣α−2u∣v∣βinΩ,(−Δp)sv=∣v∣ps*−2v+γβps*∣v∣β−2v∣u∣αinΩ,\left\{\begin{array}{l}{\left(-{\Delta }_{p})}^{s}u={| u| }^{{p}_{s}^{
Bhakta Mousomi   +2 more
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   +3 more sources

On Singular Liouville Equations and Systems

open access: yesAdvanced Nonlinear Studies, 2017
We consider some singular Liouville equations and systems motivated by uniformization problems in a non-smooth setting, as well as from models in mathematical physics.
Malchiodi Andrea
doaj   +1 more source

On Critical p-Laplacian Systems

open access: yesAdvanced Nonlinear Studies, 2017
We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
doaj   +1 more source

Solutions of perturbed p-Laplacian equation with critical nonlinearity and magnetic fields

open access: yesBoundary Value Problems, 2013
In this paper, we consider a perturbed p-Laplacian equation with criticalnonlinearity and magnetic fields on RN. By using the variational method, we establish theexistence of nontrivial solutions of the least energy.MSC: 35B33, 35J60, 35J65.
Huixing Zhang, Juan Jiang
semanticscholar   +2 more sources

Sign changing solutions of the Hardy–Sobolev–Maz'ya equation

open access: yesAdvances in Nonlinear Analysis, 2014
In this article we will study the existence, multiplicity and Morse index of sign changing solutions for the Hardy–Sobolev–Maz'ya (HSM) equation in bounded domain and involving critical growth.
Ganguly Debdip
doaj   +1 more source

Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function

open access: yesAdvances in Nonlinear Analysis, 2015
In this article, we study the following p-fractional Laplacian equation: (Pλ)-2∫ℝn|u(y)-u(x)|p-2(u(y)-u(x))|x-y|n+pαdy=λ|u(x)|p-2u(x)+b(x)|u(x)|β-2u(x)inΩ,u=0inℝn∖Ω,u∈Wα,p(ℝn),$ (P_{\lambda }) \quad -2\int _{\mathbb {R}^n}\frac{|u(y)-u(x)|^{p-2}(u(y)-u(x)
Goyal Sarika, Sreenadh Konijeti
doaj   +1 more source

Existence of solutions for a general quasilinear elliptic system via perturbation method

open access: yesBoundary Value Problems, 2013
In this paper, we consider the following quasilinear elliptic system: {−∑i,j=1NDj(aij(x,u)Diu)+12∑i,j=1NDsaij(x,u)DiuDju=2αα+β|u|α−2|v|βu,x∈Ω,−∑i,j=1NDj(bij(x,v)Div)+12∑i,j=1NDsbij(x,v)DivDjv=2βα+β|u|α|v|β−2v,x∈Ω,u=0,v=0,x∈∂Ω, where Diu=∂u∂xi, Dsaij(x ...
Y. Jiao, Shengmao Fu, Yanli Wang
semanticscholar   +2 more sources

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