zbMATH — the first resource for mathematics

Examples
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.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
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)
Isoperimetric inequalities in quasilinear elliptic equations of Leray-Lions type. (English) Zbl 0859.35028
A kind of quasilinear elliptic partial differential equation of Leray-Lions type is considered. As the base, the author introduces and proves a pointwise comparison principle for some nonlinear ordinary differential equations. Moreover, the existence and the uniqueness of spherically symmetric solution for the suitable symmetrized partial differential equation is shown. Then by the preceding results, the author gives symmetrization results, precise a priori estimates and the existence of a solution for the main equation. Finally, an application of the preceding results to a general asymptotic problem associated with Leray-Lions operators is announced.
MSC:
35J60Nonlinear elliptic equations
26D10Inequalities involving derivatives, differential and integral operators
35B05Oscillation, zeros of solutions, mean value theorems, etc. (PDE)
34C11Qualitative theory of solutions of ODE: growth, boundedness