Results 1 to 10 of about 1,140 (92)

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

arXiv, 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   +4 more sources

Groundstates for Choquard type equations with weighted potentials and Hardy–Littlewood–Sobolev lower critical exponent

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

Non-degeneracy of bubble solutions for higher order prescribed curvature problem

Advanced Nonlinear Studies, 2022
In this article, we are concerned with the following prescribed curvature problem involving polyharmonic operator on SN{{\mathbb{S}}}^{N}: Dmu=K(∣y∣)um∗−1,u>0inSN,u∈Hm(SN),{D}^{m}u=K\left(| y| ){u}^{{m}^{\ast }-1},\hspace{1.0em}u\gt 0\hspace{0.33em ...
Guo Yuxia, Hu Yichen
doaj   +1 more source

Positive radial symmetric solutions for a class of elliptic problems with critical exponent and -1 growth

Advances in Nonlinear Analysis, 2021
In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmooth functionals, two positive solutions are obtained. Moreover, the symmetry and monotonicity properties
Lei Chun-Yu, Liao Jia-Feng
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, Chakraborty Souptik, Pucci Patrizia   +2 more
doaj   +1 more source

On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain

Advances in Nonlinear Analysis, 2021
We study the wave inequality with a Hardy ...
Jleli Mohamed, Samet Bessem, Vetro Calogero   +2 more
doaj   +1 more source

The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation

Advanced Nonlinear Studies, 2023
We consider the existence and nonexistence of the positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: −Δu=∣u∣2∗−2u+λu+μulogu2x∈Ω,u=0x∈∂Ω,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}-\Delta u={| u| }^{{2}^
Deng Yinbin, He Qihan, Pan Yiqing, Zhong Xuexiu   +3 more
doaj   +1 more source

Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth

Advanced Nonlinear Studies, 2020
In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
Lu Guozhen, Shen Yansheng
doaj   +1 more source

Fujita-type theorems for a quasilinear parabolic differential inequality with weighted nonlocal source term

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