Results 21 to 30 of about 669 (68)

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

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

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

open access: yes, 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

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

Weighted critical exponents of Sobolev-type embeddings for radial functions

open access: yesAdvanced Nonlinear Studies, 2022
In this article, we prove the upper weighted critical exponents for some embeddings from weighted Sobolev spaces of radial functions into weighted Lebesgue spaces. We also consider the lower critical exponent for certain embedding.
Su Jiabao, Wang Cong
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

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

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 Fujita-type blowup result and low energy scattering for a nonlinear Schr\"o\-din\-ger equation

open access: yes, 2015
In this paper we consider the nonlinear Schr\"o\-din\-ger equation $i u_t +\Delta u +\kappa |u|^\alpha u=0$. We prove that if $\alpha
Cazenave, Thierry   +3 more
core   +2 more sources

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