EuDML | Browse

We prove Harnack's inequality for non-negative solutions of some degenerate elliptic operators in divergence form with the lower order term coefficients satisfying a Kato type contition.

Hidden regularity for semilinear hyperbolic partial differential equations

M. Milla Miranda, L.A. Medeiros (1988)

Annales de la Faculté des sciences de Toulouse : Mathématiques

High order regularity for subelliptic operators on Lie groups of polynomial growth.

Nick Dungey (2005)

Revista Matemática Iberoamericana

Let G be a Lie group of polynomial volume growth, with Lie algebra g. Consider a second-order, right-invariant, subelliptic differential operator H on G, and the associated semigroup St = e-tH. We identify an ideal n' of g such that H satisfies global regularity estimates for spatial derivatives of all orders, when the derivatives are taken in the direction of n'. The regularity is expressed as L2 estimates for derivatives of the semigroup, and as Gaussian bounds for derivatives of the heat kernel....

High regularity of the solution of a nonlinear parabolic boundary-value problem.

Barbu, Luminiţa, Moroşanu, Gheorghe, Wendland, Wolfgang L. (2002)

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

Higher integrability of the gradient in linear elasticity.

Peter Shi, Steve Wright (1994)

Mathematische Annalen

Hölder continuity for sub-elliptic systems under the sub-quadratic controllable growth in Carnot groups

Jialin Wang, Dongni Liao, Zefeng Yu (2013)

Rendiconti del Seminario Matematico della Università di Padova

Hölder continuity of bounded generalized solutions for some degenerated quasilinear elliptic equations with natural growth terms

Salvatore Bonafede (2018)

Commentationes Mathematicae Universitatis Carolinae

We prove the local Hölder continuity of bounded generalized solutions of the Dirichlet problem associated to the equation $\sum_{i = 1}^{m} \frac{\partial}{\partial x_{i}} a_{i} (x, u, \nabla u) - c_{0} {| u |}^{p - 2} u = f (x, u, \nabla u),$ assuming that the principal part of the equation satisfies the following degenerate ellipticity condition $λ (| u |) \sum_{i = 1}^{m} a_{i} (x, u, η) η_{i} \geq ν (x) {| η |}^{p},$ and the lower-order term $f$ has a natural growth with respect to $\nabla u$ .

Hölder continuity of normalized solutions of the Schrödínger equation.

P. Kröger, K.-Th. Sturm (1993)

Mathematische Annalen

Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations

Guy Barles, Emmanuel Chasseigne, Cyril Imbert (2011)

Journal of the European Mathematical Society

This paper is concerned with the Hölder regularity of viscosity solutions of second-order, fully non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we assume that, at each point of the domain, either the equation is strictly elliptic in the classical fully non-linear sense, or (and this is the most original part of our work) the equation is strictly elliptic in a non-local non-linear sense we make precise. Next we impose some regularity and growth...

Hölder continuity of weak solutions to nondiagonal singular parabolic systems of three equations

Dmitry Portnyagin (2006)

Annales Polonici Mathematici

Hölder continuity of weak solutions is studied for a nondiagonal parabolic system of singular quasilinear differential equations with matrix of coefficients satisfying special structure conditions. A technique based on estimating linear combinations of the unknowns is employed.

Hölder continuous solutions to Monge–Ampère equations

Jean-Pierre Demailly, Sławomir Dinew, Vincent Guedj, Pham Hoang Hiep, Sławomir Kołodziej, Ahmed Zeriahi (2014)

Journal of the European Mathematical Society

Let $(X, ω)$ be a compact Kähler manifold. We obtain uniform Hölder regularity for solutions to the complex Monge-Ampère equation on $X$ with $L^{p}$ right hand side, $p > 1$ . The same regularity is furthermore proved on the ample locus in any big cohomology class. We also study the range $(X, ω)$ of the complex Monge-Ampère operator acting on $ω$ -plurisubharmonic Hölder continuous functions. We show that this set is convex, by sharpening Kołodziej’s result that measures with $L^{p}$ -density belong to $(X, ω)$ and proving that $(X, ω)$ has the...

Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two

Giovanna Idone (2004)

Czechoslovak Mathematical Journal

Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order $q > 2$ are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension $n$ is less than or equal to $q + 2$ .

Currently displaying 1 – 20 of 29

Page 1 Next

Displaying 1 – 20 of 29

Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains.

Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term.

Harnack type estimates for nonlinear elliptic systems and applications

Harnack's estimates: positivity and local behavior of degenerate and singular parabolic equations.

Harnack’s inequalities for solutions to the mean curvature equation and to the capillarity problem

Harnack's inequality for solutions of some degenerate elliptic equations.