-estimate for qualitatively bounded weak solutions of nonlinear degenerate diagonal parabolic systems.
-estimates near the boundary for solutions of the Dirichlet problem
Letter to the editor.
Liouville type results for periodic and almost periodic linear operators
Liouville type theorems for φ-subharmonic functions.
In this paper we present some Liouville type theorems for solutions of differential inequalities involving the φ-Laplacian. Our results, in particular, improve and generalize known results for the Laplacian and the p-Laplacian, and are new even in these cases. Phragmen-Lindeloff type results, and a weak form of the Omori-Yau maximum principle are also discussed.
Log-concavity in some parabolic problems.
Maximum and anti-maximum principles for the -Laplacian with a nonlinear boundary condition.
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 and Its Application for the Time-Fractional Diffusion Equations
MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion equation and the diffusion equation of distributed order is formulated and discussed. In these equations, the time-fractional derivative is defined in the Caputo sense. In contrast to the Riemann-Liouville fractional derivative, the Caputo fractional...
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 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 parabolic systems coupled in both first-order and zero-order terms.
Maximum principles, sliding techniques and applications to nonlocal equations.
Maximun Principle and existence of solutions for elliptic systems involving schrödinger operators
Monge solutions for discontinuous hamiltonians
We consider an Hamilton-Jacobi equation of the formwhere is assumed Borel measurable and quasi-convex in . The notion of Monge solution, introduced by Newcomb and Su, is adapted to this setting making use of suitable metric devices. We establish the comparison principle for Monge sub and supersolution, existence and uniqueness for equation (1) coupled with Dirichlet boundary conditions, and a stability result. The relation among Monge and Lipschitz subsolutions is also discussed.
Monge solutions for discontinuous Hamiltonians
We consider an Hamilton-Jacobi equation of the form where H(x,p) is assumed Borel measurable and quasi-convex in p. The notion of Monge solution, introduced by Newcomb and Su, is adapted to this setting making use of suitable metric devices. We establish the comparison principle for Monge sub and supersolution, existence and uniqueness for equation ([see full text]) coupled with Dirichlet boundary conditions, and a stability result. The relation among Monge and Lipschitz subsolutions is also...