Results 31 to 40 of about 383 (68)

Quasilinear elliptic systems in divergence form associated to general nonlinearities

Advances in Nonlinear Analysis, 2018
The paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Moser-Trudinger inequalities for singular Liouville systems

, 2015
In this paper we prove a Moser-Trudinger inequality for the Euler-Lagrange functional of a general singular Liouville system. We characterize the values of the parameters which yield coercivity for the functional and we give necessary conditions for ...
Battaglia, Luca
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A new critical curve for a class of quasilinear elliptic systems

, 2012
We study a class of systems of quasilinear differential inequalities associated to weakly coercive differential operators and power reaction terms. The main model cases are given by the $p$-Laplacian operator as well as the mean curvature operator in non
Bidaut-Véron, Bonfiglioli, Busca, Capogna, Caristi, Cîrstea, D’Ambrosio, D’Ambrosio, D’Ambrosio, D’Ambrosio, Farina, Farina, Filippucci, Folland, Folland, Lair, Lorenzo D’Ambrosio, Maly, Mitidieri, Mitidieri, Mitidieri, Mitidieri, Mitidieri, Phan, Polacik, Pucci, Serrin, Serrin, Souplet, Stein, Teramoto, Trudinger, Trudinger, Yang, Yarur   +34 more
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High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness

Advances in Nonlinear Analysis
This article deals with the existence of high-energy positive solutions for the following coupled Schrödinger system with critical exponent: −Δu+V1(x)u=μ1u3+βuv2,x∈Ω,−Δv+V2(x)v=βu2v+μ2v3,x∈Ω,u,v∈D01,2(Ω)\left\{\begin{array}{l}-\Delta u+{V}_{1}\left(x)u={\
Guan Wen, Wang Da-Bin, Xie Huafei
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Blowing-up solutions concentrated along minimal submanifolds for some supercritical Hamiltonian systems on Riemannian manifolds

Advances in Nonlinear Analysis
Let (ℳ,g)\left({\mathcal{ {\mathcal M} }},g) and (K,κ)\left({\mathcal{K}},\kappa ) be two Riemannian manifolds of dimensions NN and mm, respectively. Let ω∈C2(ℳ)\omega \in {C}^{2}\left({\mathcal{ {\mathcal M} }}) satisfy ω>0\omega \gt 0.
Chen Wenjing, Wang Zexi
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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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Gradient estimates for semilinear elliptic systems and other related results [PDF]

, 2014
A periodic connection is constructed for a double well potential defined in the plane. This solution violates Modica's estimate as well as the corresponding Liouville Theorem for general phase transition potentials.
Smyrnelis, Panayotis
core  

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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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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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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