Add to ORKGThe result by G. Bouligand (1926) about the boundary behaviour of the solution to the generalized Dirichlet problem is sharpened, the requirement that the prescribed boundary function f be bounded being now replaced by |f| having a superharmonic majorant. By way of application, a recent result on the boundary behaviour of the solution to the variational Dirich-let problem for harmonic maps is sharpened by leaving out the previous requirement that the prescribed boundary map be bounded
Let R be a compact surface and let Gamma be a Jordan curve which separates R into two connected comp...
We illustrate some results concerning the dependence of solutions of boundary value problems for har...
We prove that,if u:Ω ⊂ ℝn → ℝN is a solution to the Dirichlet variational problem involving a regula...
Abstract. A solution of the Dirichlet problem for harmonic functions from the Smirnov class is obtai...
Let D be a bounded domain in Rn with n >= 2. For a function f on ∂D we denote by HDf the Dirichlet s...
We prove full boundary regularity for minimizing biharmonic maps with smooth Dirichlet boundary cond...
We consider the semilinear Dirichlet problem (-Delta)(m)u + g(., u) = f in bounded domains Omega sub...
Two scales of harmonic Hardy-Sobolev spaces are introduced and their boundary regularity is studied....
This talk is intended to present the main results of my PhD Thesis concerning the theory of biharmon...
Over the years many methods have been discovered to prove the existence of a solution of the Dirichl...
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] Let [omega] be an open and c...
On certain domains, if v is subharmonic and possesses a harmonic majorant near each boundary point, ...
In this paper we establish the existence of an ideal boundary Δ for X such that the points of Δ corr...
In the present work, we deal with the harmonic problems in a bounded domain of ℝ2 with the nonlinear...
We study various boundary and inner regularity questions for p(.)-(super)harmonic functions in Eucli...
Let R be a compact surface and let Gamma be a Jordan curve which separates R into two connected comp...
We illustrate some results concerning the dependence of solutions of boundary value problems for har...
We prove that,if u:Ω ⊂ ℝn → ℝN is a solution to the Dirichlet variational problem involving a regula...
Abstract. A solution of the Dirichlet problem for harmonic functions from the Smirnov class is obtai...
Let D be a bounded domain in Rn with n >= 2. For a function f on ∂D we denote by HDf the Dirichlet s...
We prove full boundary regularity for minimizing biharmonic maps with smooth Dirichlet boundary cond...
We consider the semilinear Dirichlet problem (-Delta)(m)u + g(., u) = f in bounded domains Omega sub...
Two scales of harmonic Hardy-Sobolev spaces are introduced and their boundary regularity is studied....
This talk is intended to present the main results of my PhD Thesis concerning the theory of biharmon...
Over the years many methods have been discovered to prove the existence of a solution of the Dirichl...
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] Let [omega] be an open and c...
On certain domains, if v is subharmonic and possesses a harmonic majorant near each boundary point, ...
In this paper we establish the existence of an ideal boundary Δ for X such that the points of Δ corr...
In the present work, we deal with the harmonic problems in a bounded domain of ℝ2 with the nonlinear...
We study various boundary and inner regularity questions for p(.)-(super)harmonic functions in Eucli...
Let R be a compact surface and let Gamma be a Jordan curve which separates R into two connected comp...
We illustrate some results concerning the dependence of solutions of boundary value problems for har...
We prove that,if u:Ω ⊂ ℝn → ℝN is a solution to the Dirichlet variational problem involving a regula...