A maximal regular boundary for solutions of elliptic differential equations

We prove in § 3 that any coherent analytic sheaf on arbitrary Stein space admits a global Noether operator... — The space Ep of solutions of (0.1), which satisfy (0.2), is generally

OHTSUKA , Extremal length and precise functions in 3-space, Lecture Notes, Hiroshima Univ., 1973..

More precisely, we consider, on a locally compact connected and locally connected Hausdorff space Q, a harmonic class 96 of complex-valued functions, called harmonic functions^

Using Killing vector fields, we present a (local) construction method of harmonic Riemannian submersions similar to one previously developed by Bryant [8], [17]1. AMS 2000

Clunie and Shiel-Small [3] showed that in a simply connected domain such functions can be written in the form f = h+g, where both h and g are analytic.. We call h the analytic part

We consider a semilinear elliptic Dirichlet problem with jumping nonlinearity and, using variational methods, we show that the number of solutions tends to infinity as the number

In Section 2, we study the comparison of viscosity solutions of the Dirichlet boundary value problem (1), (8)2. In Section 3, we study the comparison of viscosity solutions of

In this section we prove that, in odd di- mension, normal derivatives of H -harmonic functions have a boundary behavior similar to the complex case of M -harmonic functions as