Results 31 to 40 of about 62 (62)

Semi-classical states for critical Hartree system with critical frequency

Advanced Nonlinear Studies
In this paper, we study the following critical Hartree ...
Guo Lun, Hu Tingxi, Huang Wentao
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Solutions of vectorial Hamilton–Jacobi equations are rank-one absolute minimisers in L∞L^{\infty}

Advances in Nonlinear Analysis, 2017
Given the supremal functional E∞⁢(u,Ω′)=ess⁢supΩ′⁡H⁢(⋅,D⁢u){E_{\infty}(u,\Omega^{\prime})=\operatornamewithlimits{ess\,sup}_{\Omega^{% \prime}}H(\,\cdot\,,\mathrm{D}u)}, defined on Wloc1,∞⁢(Ω,ℝN){W^{1,\infty}_{\mathrm{loc}}(\Omega,\mathbb{R}^{N})}, with ...
Katzourakis Nikos
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The fibering method approach for a Schrödinger-Poisson system with p-Laplacian in bounded domains

Open Mathematics
In this article, we study a p-Laplacian Schrödinger-Poisson system involving a parameter q≠0q\ne 0 in bounded domains. By using the Nehari manifold and the fibering method, we obtain the non-existence and multiplicity of nontrivial solutions. On one hand,
Xue Jinfeng, Wang Libo
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Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth

Advances in Nonlinear Analysis
We consider the functional ℱ(u)≔∫Ωf(x,Du(x))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }f\left(x,Du\left(x)){\rm{d}}x, where f(x,z)f\left(x,z) satisfies a (p,q)\left(p,q)-growth condition with respect to zz and can be ...
De Filippis Filomena, Leonetti Francesco, Treu Giulia   +2 more
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On the well-posedness of global fully nonlinear first order elliptic systems

Advances in Nonlinear Analysis, 2018
In the very recent paper [15], the second author proved that for any f∈L2⁢(ℝn,ℝN){f\in L^{2}(\mathbb{R}^{n},\mathbb{R}^{N})}, the fully nonlinear first order system F⁢(⋅,D⁢u)=f{F(\,\cdot\,,\mathrm{D}u)=f} is well posed in the so-called J. L.
Abugirda Hussien, Katzourakis Nikos
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k-convex solutions for multiparameter Dirichlet systems with k-Hessian operator and Lane-Emden type nonlinearities

Advances in Nonlinear Analysis
In this article, our main aim is to investigate the existence of radial kk-convex solutions for the following Dirichlet system with kk-Hessian operators: Sk(D2u)=λ1ν1(∣x∣)(−u)p1(−v)q1inℬ(R),Sk(D2v)=λ2ν2(∣x∣)(−u)p2(−v)q2inℬ(R),u=v=0on∂ℬ(R).\left\{\begin ...
He Xingyue, Gao Chenghua, Wang Jingjing
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Infinitely many new solutions for a nonlinear coupled Schrödinger system

Advances in Nonlinear Analysis
We revisit the following nonlinear Schrödinger system−ϵ2Δu+P(x)u=μ1u3+βuv2,inR3,−ϵ2Δv+Q(x)v=μ2v3+βu2v,inR3, $$\begin{cases}-{{\epsilon}}^{2}{\Delta}u+P\left(x\right)u={\mu }_{1}{u}^{3}+\beta u{v}^{2},\hfill & \text{in} {\mathbb{R}}^{3},\hfill ...
Wang Qingfang, Zhai Mingxue
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Segregated solutions for nonlinear Schrödinger systems with a large number of components

Advanced Nonlinear Studies
In this paper we are concerned with the existence of segregated non-radial solutions for nonlinear Schrödinger systems with a large number of components in a weak fully attractive or repulsive regime in presence of a suitable external radial potential.
Chen Haixia, Pistoia Angela
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Asymptotic behaviors of least energy solutions for weakly coupled nonlinear Schrödinger systems

Advanced Nonlinear Studies
We study the asymptotic behavior of positive least energy solutions to the weakly coupled nonlinear Schrödinger systems with nearly critical exponents.
Chen Zhijie, Cheng Zetao
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Synchronized vector solutions for the nonlinear Hartree system with nonlocal interaction

Advanced Nonlinear Studies
We are concerned with the following nonlinear Hartree system−Δu+P1(|x|)u=α1|x|−1∗u2u+β|x|−1∗v2u inR3,−Δv+P2(|x|)v=α2|x|−1∗v2v+β|x|−1∗u2v inR3, $$\begin{cases}-{\Delta}u+{P}_{1}\left(\vert x\vert \right)u={\alpha }_{1}\left(\vert x{\vert }^{-1}\ast {u}^{2}
Gao Fashun, Yang Minbo, Zhao Shunneng
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