zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
C 1+α local regularity of weak solutions of degenerate elliptic equations. (English) Zbl 0539.35027

From the author’s introduction: ”The main result of this paper is the C 1+α nature of local weak solutions of elliptic equations of the type

(1·1)-diva (x,u,u)+b(x,u,u)=0in𝒟 ' (Ω)

where Ω is an open set in N , N2, a is a map from 2N+1 into N and b maps 2N+1 into . The point here is that we do not assume uniform ellipticity of the leading part of (1.1), which is allowed to be degenerate for certain values of |u|· ''

Reviewer: M.Chicco

35J60Nonlinear elliptic equations
35B65Smoothness and regularity of solutions of PDE
35J70Degenerate elliptic equations
35J15Second order elliptic equations, general
35D10Regularity of generalized solutions of PDE (MSC2000)