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The aim of this paper is to characterize the u.s.c. (resp. l.s.c.) viscosity sub (resp. super) solutions of the Laplacian which do not take the value $+ \infty$ (resp. $- \infty$ ) as precisely the sub (resp. super) harmonic functions.

Maximum principles and a priori estimates for a class of problems from nonlinear elasticity

Patricia Bauman, Nicholas C. Owen, Daniel Phillips (1991)

Annales de l'I.H.P. Analyse non linéaire

Maximum principles and minimal surfaces

Mario Miranda (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Maximum principles and the method of moving planes for a class of degenerate elliptic linear operators

Dario Daniele Monticelli (2010)

Journal of the European Mathematical Society

We deal with maximum principles for a class of linear, degenerate elliptic differential operators of the second order. In particular the Weak and Strong Maximum Principles are shown to hold for this class of operators in bounded domains, as well as a Hopf type lemma, under suitable hypothesis on the degeneracy set of the operator. We derive, as consequences of these principles, some generalized maximum principles and an a priori estimate on the solutions of the Dirichlet problem for the linear equation....

Maximum principles for a class of nonlinear second-order elliptic boundary value problems in divergence form.

Enache, Cristian (2006)

Boundary Value Problems [electronic only]

Maximum Principles for Linear, Non-Unifomly Elliptic Operators with Measurable Coefficients.

Neil S. Trudinger (1977)

Mathematische Zeitschrift

Maximum principles for some quasilinear second order partial differential equations

M. A. Dow, R. Výborný (1972)

Rendiconti del Seminario Matematico della Università di Padova

Maximum principles, sliding techniques and applications to nonlocal equations.

Coville, Jerome (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Maximun Principle and existence of solutions for elliptic systems involving schrödinger operators

Bénédicte Alziary, Laure Cardoulis, Jacqueline Fleckinger-Pellé (1997)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Mean curvature and least energy solutions for the critical Neumann problem with weight

J. Chabrowski (2002)

Bollettino dell'Unione Matematica Italiana

In this paper we consider the Neumann problem involving a critical Sobolev exponent. We investigate a combined effect of the coefficient of the critical Sobolev nonlinearity and the mean curvature on the existence and nonexistence of solutions.

Mean curvature properties for $p$ -Laplace phase transitions

Berardino Sciunzi, Enrico Valdinoci (2005)

Journal of the European Mathematical Society

This paper deals with phase transitions corresponding to an energy which is the sum of a kinetic part of $p$ -Laplacian type and a double well potential $h_{0}$ with suitable growth conditions. We prove that level sets of solutions of $Δ_{p} u = h_{0}^{'} (u)$ possessing a certain decay property satisfy a mean curvature equation in a suitable weak viscosity sense. From this, we show that, if the above level sets approach uniformly a hypersurface, the latter has zero mean curvature.

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Displaying 21 – 40 of 208

Maximal regular boundary value problems in Banach-valued function spaces and applications.

Maximum and anti-maximum principles for the $p$ -Laplacian with a nonlinear boundary condition.

Maximum norm error estimates in the finite element method with isoparametric quadratic elements and numerical integration

Maximum principle and existence of positive solutions for nonlinear systems involving degenerate $p$ -Laplacian operators.

Maximum principle and existence results for elliptic systems on $ℝ^{N}$ .

Maximum principle for elliptic operators and applications

Maximum principle for viscosity sub solutions and viscosity sub solutions of the Laplacian