Eigenvalue Inequalities for the Dirichlet Problem on Spheres and the Growth of Subharmonic Functions
El espacio de Montel de las funciones vectoriales armónicas en un dominio.
Elementary proofs of some basic subtemperature theorems
We present simple elementary proofs of several theorems about temperatures and subtemperatures. Most of these are concerned with mean values over heat spheres, heat balls, and modified heat balls, with applications to proving Harnack theorems and the monotone approximation of subtemperatures by smooth subtemperatures.
Embedding of open riemannian manifolds by harmonic functions
Let be a noncompact Riemannian manifold of dimension . Then there exists a proper embedding of into by harmonic functions on . It is easy to find harmonic functions which give an embedding. However, it is more difficult to achieve properness. The proof depends on the theorems of Lax-Malgrange and Aronszajn-Cordes in the theory of elliptic equations.
Energy and the law of the interated logarithm.
Equivalence of weak and viscosity solutions to the -Laplace equation in the Heisenberg group.
Equivalent Norms on L... Spaces of Harmonic Functions.
Espaces harmoniques sans potentiel positif
Dans cet article on étudie les fonctions surharmoniques dans un espace muni de la théorie axiomatique des fonctions harmoniques avec les axiomes 1, 2, 3 de M. Brelot, en supposant que les constantes sont harmoniques dans et qu’il n’existe pas de potentiel dans . Ainsi, dans la théorie axiomatique, on se propose de chercher à étendre les particularités du cas plan et quelques résultats sur les surfaces de Riemann du type parabolique. On démontre premièrement, en utilisant une notion de flux...
Estimate for gradient, bmo and Lindelöf theorem
Estimates for the Poisson kernel on higher rank NA groups
We obtain an estimate for the Poisson kernel for the class of second order left-invariant differential operators on higher rank NA groups.
Estimates of -harmonic conjugate operator.
Existence and regularity for a minimum problem with free boundary.