scholarly journals Harmonic measure and quantitative connectivity: geometric characterization of the $$L^p$$-solvability of the Dirichlet problem

2020 ◽  
Vol 222 (3) ◽  
pp. 881-993
Author(s):  
Jonas Azzam ◽  
Steve Hofmann ◽  
José María Martell ◽  
Mihalis Mourgoglou ◽  
Xavier Tolsa
Keyword(s):  
Dirichlet Problem ◽  
Harmonic Measure ◽  
Geometric Characterization

Geometric characterization of additively manufactured polymer derived ceramics

2017 ◽  
Vol 18 ◽  
pp. 95-102 ◽  
Author(s):  
Jacob M. Hundley ◽  
Zak C. Eckel ◽  
Emily Schueller ◽  
Kenneth Cante ◽  
Scott M. Biesboer ◽  
...  
Keyword(s):  
Geometric Characterization ◽  
Polymer Derived Ceramics

scholarly journals Eigencurves of the p(·)-Biharmonic operator with a Hardy-type term

2020 ◽  
Vol 6 (2) ◽  
pp. 198-209
Author(s):  
Mohamed Laghzal ◽  
Abdelouahed El Khalil ◽  
My Driss Morchid Alaoui ◽  
Abdelfattah Touzani
Keyword(s):  
Dirichlet Problem ◽  
Variational Approach ◽  
Type Inequality ◽  
Biharmonic Operator ◽  
Nondecreasing Sequence ◽  
Hardy Type Inequality ◽  
Principal Curve ◽  
Hardy Type ◽  
Homogeneous Dirichlet Problem

AbstractThis paper is devoted to the study of the homogeneous Dirichlet problem for a singular nonlinear equation which involves the p(·)-biharmonic operator and a Hardy-type term that depend on the solution and with a parameter λ. By using a variational approach and min-max argument based on Ljusternik-Schnirelmann theory on C1-manifolds [13], we prove that the considered problem admits at least one nondecreasing sequence of positive eigencurves with a characterization of the principal curve μ1(λ) and also show that, the smallest curve μ1(λ) is positive for all 0 ≤ λ < CH, with CH is the optimal constant of Hardy type inequality.

A Geometric Characterization of Nonnegative Bands

2004 ◽  
Vol 47 (2) ◽  
pp. 257-263
Author(s):  
Alka Marwaha
Keyword(s):  
Invariant Subspace ◽  
Geometric Structure ◽  
Finite Rank ◽  
Special Kind ◽  
Maximal Rank ◽  
Geometric Characterization ◽  
Idempotent Operators ◽  
Rank One ◽  
Standard Subspace

AbstractA band is a semigroup of idempotent operators. A nonnegative band S in having at least one element of finite rank and with rank (S) > 1 for all S in S is known to have a special kind of common invariant subspace which is termed a standard subspace (defined below).Such bands are called decomposable. Decomposability has helped to understand the structure of nonnegative bands with constant finite rank. In this paper, a geometric characterization of maximal, rank-one, indecomposable nonnegative bands is obtained which facilitates the understanding of their geometric structure.

Compatible Tight Riesz Orders

1976 ◽  
Vol 28 (1) ◽  
pp. 186-200 ◽  
Author(s):  
A. M. W. Glass
Keyword(s):  
Geometric Characterization ◽  
Permutation Groups ◽  
Algebraic Characterization ◽  
Partially Ordered ◽  
Ordered Field ◽  
Ordered Groups

N. R. Reilly has obtained an algebraic characterization of the compatible tight Riesz orders that can be supported by certain partially ordered groups [13; 14]. The purpose of this paper is to give a “geometric“ characterization by the use of ordered permutation groups. Our restrictions on the partially ordered groups will likewise be geometric rather than algebraic. Davis and Bolz [3] have done some work on groups of all order-preserving permutations of a totally ordered field; from our more general theorems, we will be able to recapture their results.

Geometric characterization of multivariable quadratically stabilizing quantizers

2006 ◽  
Vol 79 (8) ◽  
pp. 845-857 ◽  
Author(s):  
H. Haimovich ◽  
M. M. Seron ◽  
G. C. Goodwin
Keyword(s):  
Geometric Characterization
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