Maximal and Minimal Solutions of Elliptic Differential Equations with Discontinuous Non-Linearities.
Maximal inequalities and Riesz transform estimates on spaces for Schrödinger operators with nonnegative potentials
We show various estimates for Schrödinger operators on and their square roots. We assume reverse Hölder estimates on the potential, and improve some results of Shen. Our main tools are improved Fefferman-Phong inequalities and reverse Hölder estimates for weak solutions of and their gradients.
Maximal regular boundary value problems in Banach-valued function spaces and applications.
Maximum and anti-maximum principles for the -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 -Laplacian operators.
Maximum principle and existence results for elliptic systems on .
Maximum principle for elliptic operators and applications
Maximum principle for viscosity sub solutions and viscosity sub solutions of the Laplacian
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 (resp. ) as precisely the sub (resp. super) harmonic functions.
Maximum principles and a priori estimates for a class of problems from nonlinear elasticity
Maximum principles and minimal surfaces
Maximum principles and the method of moving planes for a class of degenerate elliptic linear operators
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.
Maximum Principles for Linear, Non-Unifomly Elliptic Operators with Measurable Coefficients.
Maximum principles for some quasilinear second order partial differential equations
Maximum principles, sliding techniques and applications to nonlocal equations.
Maximun Principle and existence of solutions for elliptic systems involving schrödinger operators
Mean curvature and least energy solutions for the critical Neumann problem with weight
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 -Laplace phase transitions
This paper deals with phase transitions corresponding to an energy which is the sum of a kinetic part of -Laplacian type and a double well potential with suitable growth conditions. We prove that level sets of solutions of 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.
Mean value theorems for linear and semi-linear rotation invariant operators