Results 41 to 50 of about 733 (91)
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
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(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
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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
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
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Existence of solutions for a general quasilinear elliptic system via perturbation method
Boundary Value Problems, 2013 In this paper, we consider the following quasilinear elliptic system: {−∑i,j=1NDj(aij(x,u)Diu)+12∑i,j=1NDsaij(x,u)DiuDju=2αα+β|u|α−2|v|βu,x∈Ω,−∑i,j=1NDj(bij(x,v)Div)+12∑i,j=1NDsbij(x,v)DivDjv=2βα+β|u|α|v|β−2v,x∈Ω,u=0,v=0,x∈∂Ω, where Diu=∂u∂xi, Dsaij(x ...
Y. Jiao, Shengmao Fu, Yanli Wang
semanticscholar +2 more sources
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
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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
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Advances in Nonlinear Analysis, 2020 We are concerned with the following quasilinear elliptic ...
Fang Xiangdong, Zhang Jianjun
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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
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