Results 1 to 10 of about 352 (25)
Flat solutions of the 1-Laplacian equation [PDF]
, 2017 For every $f \in L^N(\Omega)$ defined in an open bounded subset $\Omega$ of $\mathbb{R}^N$, we prove that a solution $u \in W_0^{1, 1}(\Omega)$ of the $1$-Laplacian equation ${-}\mathrm{div}{(\frac{\nabla u}{|\nabla u|})} = f$ in $\Omega$ satisfies ...
Orsina, Luigi, Ponce, Augusto C.
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Mountain pass solutions for quasi-linear equations via a monotonicity trick [PDF]
, 2011 We obtain the existence of mountain pass solutions for quasi-linear equations without the typical assumptions which guarantee the boundedness of an arbitrary Palais-Smale sequence. This is done through a recent version of the monotonicity trick proved by
Pellacci, Benedetta, Squassina, Marco
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Existence of Nontrivial Solutions for p-Laplacian Equations in {R}^{N} [PDF]
, 2010 In this paper, we consider a p-Laplacian equation in {R}^{N}with sign-changing potential and subcritical p-superlinear nonlinearity. By using the cohomological linking method for cones developed by Degiovanni and Lancelotti in 2007, an existence result ...
Liu, Chungen, Zheng, Youquan
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On the relationship of continuity and boundary regularity in PMC Dirichlet problems [PDF]
, 2015 In 1976, Leon Simon showed that if a compact subset of the boundary of a domain is smooth and has negative mean curvature, then the non-parametric least area problem with Lipschitz continuous Dirichlet boundary data has a generalized solution which is ...
Lancaster, Kirk, Melin, Jaron
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A Short Proof of H\"older Continuity for Functions in DeGiorgi Classes
, 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.Comment: 5 ...
Klaus, Colin, Liao, Naian
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Isolated singularities of the prescribed mean curvature equation in Minkowski $3$-space [PDF]
, 2017 We give a classification of non-removable isolated singularities for real analytic solutions of the prescribed mean curvature equation in Minkowski $3 ...
Gálvez, José A. +2 more
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On the stability of standing waves of Klein-Gordon equations in a semiclassical regime
, 2012 We investigate the orbital stability and instability of standing waves for two classes of Klein-Gordon equations in the semi-classical regime.Comment: 9 ...
______ +41 more
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, 2013 In this work we consider the identifiability of two coefficients $a(u)$ and $c(x)$ in a quasilinear elliptic partial differential equation from observation of the Dirichlet-to-Neumann map.
Egger, Herbert +2 more
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On the symmetry of minimizers in constrained quasi-linear problems [PDF]
, 2010 We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.Comment: 18 ...
Squassina, Marco
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Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
, 2013 In this note we present some uniqueness and comparison results for a class of problem of the form \begin{equation} \label{EE0} \begin{array}{c} - L u = H(x,u,\nabla u)+ h(x), \quad u \in H^1_0(\Omega) \cap L^{\infty}(\Omega), \end{array} \end{equation ...
Arcoya, David +3 more
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