1,720,970 research outputs found
Harnack inequality for fully nonlinear elliptic equations with coefficients in weighted spaces
No full textIn this paper we are concerned with the study of a class of fully nonlinear uniformly elliptic equations. We prove the Harnack inequality for Lp-viscosity solutions, when the coefficients of the operator belong to some weighted Lebesgue spaces
Higher integrability of minimizers of degenerate functionals in carnot-caratheodory spaces
No full textIn this paper, we prove a higher integrability result for the horizontal gradient of a minimizer of a functional of the type whose matrix of the coefficients A(x) = tA(x) satisfies the anisotropic bounds where the ellipticity function K(x) ∈ A2 ∩RHτ, τ opportunely related to the homogeneous dimension, and is such that the pair
Existence and regularity of the solutions to degenerate elliptic equations in Carnot-Caratheodory spaces
No full textExistence, Regularity, and Uniqueness of Solutions to Some Noncoercive Nonlinear Elliptic Equations in Unbounded Domains
No full textIn this paper, we study a noncoercive nonlinear elliptic operator with a drift term in an unbounded domain. The singular first-order term grows like |E(x)||del u|, where E(x) is a vector field belonging to a suitable Morrey-type space. Our operator arises as a stationary equation of diffusion-advection problems. We prove existence, regularity, and uniqueness theorems for a Dirichlet problem. To obtain our main results, we use the weak maximum principle and the same a priori estimates
Existence and regularity for solutions of quasilinear degenerate elliptic systems
No full textThe existence of a solution to a quasilinear system of degenerate equations is proved, assuming that the datum has an intermediate degree of summability and that the off -diagonal coefficients have a support contained in a crossed staircase set. The support required in this paper is larger than the one assumed in a previous work
Sobolev-Zygmund solutions for nonlinear elliptic equations with growth coeffcients in BMO
No full textIn this paper we study, in the setting of the Zygmund-Sobolev
spaces, weak solutions to Dirichlet problems for nonlinear elliptic equations
in divergence form with unbounded coefficients of the type
div (A(x;ru) + B(x; u)) = div F
in a bounded regular domain of R^N, N > 2
Existence of solutions to some quasilinear degenerate elliptic systems when the datum has an intermediate degree of integrability
No full textWe prove the existence of a solution to a quasilinear system of degenerate equations, when the datum has an intermediate degree of summability. The main assumption asks the off-diagonal coefficients to have a crossed 'party-flags' support
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