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′)=esssupΩ′H(⋅,Du){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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Diffeomorphism-invariant properties for quasi-linear elliptic operators [PDF]
arXiv, 2011 For quasi-linear elliptic equations we detect relevant properties which remain invariant under the action of a suitable class of diffeomorphisms. This yields a connection between existence theories for equations with degenerate and non-degenerate coerciveness.
arxiv
Infinitely Many Solutions for a Non-homogeneous Differential Inclusion with Lack of Compactness
Advanced Nonlinear Studies, 2019 In this paper, we consider the following class of differential inclusion problems in ℝN{\mathbb{R}^{N}} involving the p(x){p(x)}-Laplacian:
Ge Bin, Rădulescu Vicenţiu D.
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Global compactness for a class of quasi-linear elliptic problems [PDF]
arXiv, 2011 We prove a global compactness result for Palais-Smale sequences associated with a class of quasi-linear elliptic equations on exterior domains.
arxiv
On the stability of standing waves of Klein-Gordon equations in a semiclassical regime [PDF]
arXiv, 2012 We investigate the orbital stability and instability of standing waves for two classes of Klein-Gordon equations in the semi-classical regime.
arxiv
Parabolic Biased Infinity Laplacian Equation Related to the Biased Tug-of-War
Advanced Nonlinear Studies, 2019 In this paper, we study the parabolic inhomogeneous β-biased infinity Laplacian equation arising from the β-biased tug-of ...
Liu Fang, Jiang Feida
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Soliton dynamics of NLS with singular potentials [PDF]
arXiv, 2012 We investigate the validity of a soliton dynamics behavior in the semi-relativistic limit for the nonlinear Schr\"odinger equation in $\R^{N}, N\ge 3$, in presence of a singular external potential.
arxiv
A-priori bounds and existence for solutions of weighted elliptic equations with a convection term
Advances in Nonlinear Analysis, 2017 We investigate weighted elliptic equations containing a convection term with variable exponents that are subject to Dirichlet or Neumann boundary condition.
Ho Ky, Sim Inbo
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Maximum principle and one-sign solutions for the elliptic $p$-Laplacian [PDF]
arXiv, 2012 In this paper, we prove a maximum principle for the $p$-Laplacian with a sign-changing weight. As an application of this maximum principle, we study the existence of one-sign solutions for a class of quasilinear elliptic problems.
arxiv
Ireneo Peral: Forty Years as Mentor
Advanced Nonlinear Studies, 2017 In this article we present a survey of the Ph.D. theses that have been completed under the advice of Ireneo Peral.Following a chronological order, we summarize the main results contained in the works of the former students of Ireneo Peral.
Abdellaoui Boumediene +9 more
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