Results 41 to 50 of about 720 (91)
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 +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 solutions for p-Laplacian systems with critical homogeneous nonlinearity
, 2012 In this article, we deal with existence and multiplicity of solutions to the p-Laplacian system of the type -Δpu=1p*∂F(x,u,v)∂u+λuq-2u,x∈Ω,-Δpv=1p*∂F(x,u,v)∂v+δvq-2v,x∈Ω,u=v=0,x∈∂Ω, where Ω ⊂ ℝNis a bounded domain with ...
Dengfeng Lü
semanticscholar +1 more source
Solutions of perturbed p-Laplacian equation with critical nonlinearity and magnetic fields
Boundary 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
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
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 +2 more
core +1 more source
(p,Q) systems with critical singular exponential nonlinearities in the Heisenberg group
Open Mathematics, 2020 The paper deals with the existence of solutions for (p,Q)(p,Q) coupled elliptic systems in the Heisenberg group, with critical exponential growth at infinity and singular behavior at the origin.
Pucci Patrizia, Temperini Letizia
doaj +1 more source
Critical fractional $p$-Laplacian problems with possibly vanishing potentials
, 2015 We obtain nontrivial solutions of a critical fractional $p$-Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the lack of compactness associated with problems involving critical Sobolev ...
Perera, Kanishka +2 more
core +1 more source
Boundary Value Problems, 2012 In this paper, we consider singular elliptic systems involving a strongly coupled critical potential and concave nonlinearities. By using variational methods and analytical techniques, the existence and multiplicity of positive solutions to the system ...
Tsing-San Hsu
semanticscholar +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 +5 more
core +1 more source