Results 21 to 30 of about 720 (91)

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

Multiplicity of solutions of perturbed Schrödinger equation with electromagnetic fields and critical nonlinearity in RN

Boundary Value Problems, 2014
In this paper, we deal with the existence and multiplicity of solutions for perturbed Schrödinger equation with electromagnetic fields and critical nonlinearity in RN: −ε2ΔAu(x)+V(x)u(x)=|u|2∗−2u+h(x,|u|2)u for all x∈RN, where ∇Au(x):=(∇+iA(x))u, V(x) is
Sihua Liang, Yueqiang Song
semanticscholar   +2 more sources

Fractional parabolic problems with a nonlocal initial condition

Moroccan Journal of Pure and Applied Analysis, 2017
In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the ...
Abdellaoui B., Boucherif A., Touaoula T. M.   +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

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

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

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

Local existence and uniqueness in the largest critical space for a surface growth model [PDF]

, 2010
We show the existence and uniqueness of solutions (either local or global for small data) for an equation arising in different aspects of surface growth.
Blomker, Dirk, Romito, Marco
core   +4 more sources

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

Least energy solutions for a quasilinear Schrödinger equation with potential well

Boundary Value Problems, 2013
In this paper, we consider the existence of least energy solutions for the following quasilinear Schrödinger equation: with a(x)≥0 having a potential well, where N≥3 and λ>0 is a parameter. Under suitable hypotheses, we obtain the existence of a least
Y. Jiao
semanticscholar   +2 more sources