A 3G-Theorem for Jordan Domains in ℝ²
We prove a new 3G-Theorem for the Laplace Green function G on an arbitrary Jordan domain D in ℝ². This theorem extends the recent one proved on a Dini-smooth Jordan domain.
A biharmonic elliptic problem with dependence on the gradient and the Laplacian.
A Carleman function and the Cauchy problem for the Laplace equation.
A characterization of caloric morphisms between manifolds.
A class of functions containing polyharmonic functions in ℝⁿ
Some properties of the functions of the form in ℝⁿ, n ≥ 2, where each is a harmonic function defined outside a compact set, are obtained using the harmonic measures.
A Construction of Representing Measures for Elliptic and Parabolic Differential Equations.
A Converse of the Riesz Decompostition Theorem for Harmonic Spaces.
A factorization method for an inverse Neumann problem for harmonic vector fields.
A Family of Optimal Conditions for the Absence of Bound States in a Potential
A fine limit property of functions superharmonic outside a manifold
A free boundary problem related to single-layer potentials.
A general continuity principle
A general definition of capacity
One gives a general definition of capacity which includes -capacity, extremal length and a quantity defined by N.G. Meyers.
A generalised conical density theorem for unrectifiable sets.
A generalization of the Phragmén-Lindelöf principle for elliptic differential equations.
A generalized area integral estimate and applications
A maximum principle for biharmonic functions in Lipschitz and C1 domains.
A mean value property of harmonic functions on prolate ellipsoids of revolution.
A mixed boundary value problem for heat potentials (Preliminary communication)
A mixed boundary value problem for Laplace's equation involving a nearly circular disk.