This course will be concerned with applications of recent work- tech-niques concerning the boundary behavior of positive p harmonic functions vanishing on a portion of the boundary of Lipschitz, chord arc, and Reifen-berg flat domains. An optimistic outline follows: 1. Fundamental properties of p harmonic functions and elliptic measure. 2. The dimension of p harmonic measure. 3. Boundary Harnack inequalities and the Martin boundary problem in Reifenberg flat and Lipschitz domains. 4. Uniqueness and regularity in free boundary- inverse type problems. The lectures concerning 2 will be drawn from [BL], [L1], [LNP], [BLNV]. Lectures involving 3 will be based on [LN1]- [LN3], [LLN]. Lectures on 4 will be concerned with [LV 1-6] and [LN 4-6]. ODE...
Title from PDF of title page (University of Missouri--Columbia, viewed on May 13, 2013).The entire t...
In this thesis, which consists of five papers (A,B,C,D,E), we are interested in questions related to...
In the study of the local Fatou theorem for harmonic functions, Carleson [Ca] proved the following c...
This course will be concerned with applications of recent work- tech-niques concerning the boundary ...
Abstract. In this paper we highlight a set of techniques that recently have been used to establish b...
In this paper we highlight a set of techniques that recently have been used to establish boundary Ha...
In this paper we highlight a set of techniques that recently have been used to establish boundary Ha...
In this paper we highlight a set of techniques that recently have been used to establish boundary Ha...
In this paper we prove new results for p harmonic functions, p 6 = 2, 1 < p < ∞, in Lipschitz ...
Abstract. Christopher Bishop (1991) proved an extension to higher dimensions of a result of Bishop, ...
In this paper we study the regularity of the free boundary in a general two-phase free boundary prob...
Abstract. These notes discuss results on layer potential methods for elliptic boundary problems, wit...
AbstractIn this paper we study the regularity of the free boundary in a general two-phase free bound...
This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary ...
This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary ...
Title from PDF of title page (University of Missouri--Columbia, viewed on May 13, 2013).The entire t...
In this thesis, which consists of five papers (A,B,C,D,E), we are interested in questions related to...
In the study of the local Fatou theorem for harmonic functions, Carleson [Ca] proved the following c...
This course will be concerned with applications of recent work- tech-niques concerning the boundary ...
Abstract. In this paper we highlight a set of techniques that recently have been used to establish b...
In this paper we highlight a set of techniques that recently have been used to establish boundary Ha...
In this paper we highlight a set of techniques that recently have been used to establish boundary Ha...
In this paper we highlight a set of techniques that recently have been used to establish boundary Ha...
In this paper we prove new results for p harmonic functions, p 6 = 2, 1 < p < ∞, in Lipschitz ...
Abstract. Christopher Bishop (1991) proved an extension to higher dimensions of a result of Bishop, ...
In this paper we study the regularity of the free boundary in a general two-phase free boundary prob...
Abstract. These notes discuss results on layer potential methods for elliptic boundary problems, wit...
AbstractIn this paper we study the regularity of the free boundary in a general two-phase free bound...
This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary ...
This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary ...
Title from PDF of title page (University of Missouri--Columbia, viewed on May 13, 2013).The entire t...
In this thesis, which consists of five papers (A,B,C,D,E), we are interested in questions related to...
In the study of the local Fatou theorem for harmonic functions, Carleson [Ca] proved the following c...