Results 21 to 30 of about 671 (67)

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

The concentration-compactness principles for Ws,p(·,·)(ℝN) and application

Advances in Nonlinear Analysis, 2020
We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
doaj   +1 more source

Weighted critical exponents of Sobolev-type embeddings for radial functions

Advanced 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

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

Advances 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

, 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, Correia, Simão, Dickstein, Flávio, Weissler, Fred B.   +3 more
core   +2 more sources

Existence and nonexistence of global solutions of degenerate and singular parabolic systems

, 2000
Abstract and Applied Analysis, Volume 5, Issue 4, Page 265-284, 2000.
Gabriella Caristi
wiley   +1 more source

Multiple perturbations of a singular eigenvalue problem

, 2015
We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija, Repovš, Dušan, Virk, Žiga   +2 more
core   +1 more source

On the instability for the cubic nonlinear Schrodinger equation

, 2007
We study the flow map associated to the cubic Schrodinger equation in space dimension at least three.
Burq, Carles, Cazenave, Grenier, Rémi Carles, Sone   +5 more
core   +1 more source

Existence results for nonhomogeneous Choquard equation involving p-biharmonic operator and critical growth

Demonstratio Mathematica
In this article, we are interested in the existence of nontrivial solutions for the following nonhomogeneous Choquard equation involving the pp-biharmonic operator: M∫Ω∣Δu∣pdxΔp2u−Δpu=λ(∣x∣−μ⁎∣u∣q)∣u∣q−2u+∣u∣p*−2u+f,inΩ,u=Δu=0,on∂Ω,\left\{\begin{array}{l}
Hai Quan, Zhang Jing
doaj   +1 more source

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