Research Output per year

## Fingerprint Dive into the research topics where Gregory Verchota is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 4 Similar Profiles

Lipschitz Domains
Mathematics

Surface integral
Mathematics

Elliptic Systems
Mathematics

Maximal Function
Mathematics

Dirichlet Problem
Mathematics

Harmonic Functions
Mathematics

Biharmonic
Mathematics

Maximum Principle
Mathematics

## Research Output 1988 2015

- 661 Citations
- 11 h-Index
- 22 Article

## A constant coefficient Legendre-Hadamard system with no coercive constant coefficient quadratic form over W^{1,2}

Verchota, G., 2015, In : Mathematical Research Letters. 22, 3, p. 945-965 21 p.Research output: Contribution to journal › Article

Legendre

Quadratic form

Coefficient

Nonsmooth Domains

Convex Domain

1
Citation
(Scopus)

## Strongly elliptic linear operators without coercive quadratic forms I. Constant coefficient operators and forms

Verchota, G., 2014, In : Journal of the European Mathematical Society. 16, 10, p. 2165-2210 46 p.Research output: Contribution to journal › Article

Sobolev spaces

Elliptic Operator

Quadratic form

Linear Operator

Nonsmooth Domains

2
Citations
(Scopus)

## Agmon Coerciveness and the Analysis of Operators with Formally Positive Integro-Differential Forms

Verchota, G., Feb 2012, In : Communications in Partial Differential Equations. 37, 2, p. 285-297 13 p.Research output: Contribution to journal › Article

Coerciveness

Sobolev spaces

Differential Forms

Mathematical operators

Boundary conditions

4
Citations
(Scopus)

## Noncoercive sums of squares in R [x1, ..., xn]

Verchota, G., Mar 2010, In : Journal of Pure and Applied Algebra. 214, 3, p. 236-250 15 p.Research output: Contribution to journal › Article

Sum of squares

Positive definite

Roots

Form

1
Citation
(Scopus)

## Counterexamples and uniqueness for Lp (∂ Ω) oblique derivative problems

Verchota, G., Apr 15 2007, In : Journal of Functional Analysis. 245, 2, p. 413-437 25 p.Research output: Contribution to journal › Article

Oblique

Counterexample

Uniqueness

Derivative

Vector Field