A Short Proof of Hölder Continuity for Functions in DeGiorgi Classes [PDF]
Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematica, Volumen
43, 2018, 931-934, 2017 The goal of this note is to give an alternative proof of local H\"older continuity for functions in DeGiorgi classes based on an idea of Moser.
Klaus, Colin, Liao, Naian
arxiv +3 more sources
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.
______ +41 more
arxiv +5 more sources
On the symmetry of minimizers in constrained quasi-linear problems [PDF]
arXiv, 2010 We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.
Squassina, Marco
arxiv +4 more sources
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.
A. Alvino +23 more
arxiv +3 more sources
Isolated singularities of the prescribed mean curvature equation in Minkowski $3$-space [PDF]
arXiv, 2017 We give a classification of non-removable isolated singularities for real analytic solutions of the prescribed mean curvature equation in Minkowski $3$-space.
Gálvez, José A. +2 more
arxiv +5 more sources
Subdifferential Decomposition of 1D-regularized Total Variation with Nonhomogeneous Coefficients [PDF]
, 2021 In this paper, we consider a convex function defined as a 1D-regularized total variation with nonhomogeneous coefficients, and prove the Main Theorem concerned with the decomposition of the subdifferential of this convex function to a weighted singular ...
Sho Kubota
semanticscholar +1 more source
On singular quasilinear elliptic equations with data measures
Advances in Nonlinear Analysis, 2021 The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the ...
Alaa Nour Eddine +2 more
doaj +1 more source
On double phase Kirchhoff problems with singular nonlinearity
Advances in Nonlinear Analysis, 2023 In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth.
Arora Rakesh +3 more
doaj +1 more source
Existence of two solutions for singular Φ-Laplacian problems
Advanced Nonlinear Studies, 2022 Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the Φ\Phi -Laplacian operator, and the reaction term can be nonmonotone.
Candito Pasquale +2 more
doaj +1 more source
Three solutions for equations involving nonhomogeneous operators of p-Laplace type in RN
Journal of Inequalities and Applications, 2014 In this paper, we are concerned with the following elliptic equation −div(φ(x,∇u))=λf(x,u)in RN, where the function φ(x,v) is of type |v|p−2v and f:RN×R→R satisfies a Carathéodory condition.
Eun Bee Choi, Yun-Ho Kim
semanticscholar +2 more sources