A COMPARISON PRINCIPLE FOR QUASI-LINEAR ELLIPTIC-EQUATIONS AND ITS APPLICATION

Authors
JIN ZR LANCASTER K
Citation
Zr. Jin et K. Lancaster, A COMPARISON PRINCIPLE FOR QUASI-LINEAR ELLIPTIC-EQUATIONS AND ITS APPLICATION, Pacific journal of mathematics, 184(2), 1998, pp. 279-294
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
Pacific journal of mathematics → ACNP
ISSN journal
00308730
Volume
184
Issue
2
Year of publication
1998
Pages
279 - 294
Database
ISI
SICI code
0030-8730(1998)184:2<279:ACPFQE>2.0.ZU;2-S
Abstract
A comparison principle for a class of quasilinear elliptic equations i s proved. An application of the comparison principle is given to prove the uniqueness of solutions of Dirichlet problems for a class of elli ptic equations with jump discontinuous boundary data. The comparison p rinciple is improved from the one given by Serrin. The uniqueness is p roved by reducing the equation to an associated elliptic equation by v iewing the graph of the solution from the side.