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Titolo:
EXISTENCE AND UNIQUENESS RESULTS ON SINGLE-PEAKED SOLUTIONS OF A SEMILINEAR PROBLEM
Autore:
CAO DM; NOUSSAIR ES; YAN SS;
Indirizzi:
CHINESE ACAD SCI,WUHAN INST MATH SCI,YOUNG SCIENTIST LAB MATH PHYS,POB 71007 WUHAN 430071 PEOPLES R CHINA UNIV NEW S WALES,SCH MATH SYDNEY NSW 2052 AUSTRALIA S CHINA UNIV TECHNOL,DEPT MATH APPL GUANGZHOU 510641 PEOPLES R CHINA
Titolo Testata:
Annales de l Institut Henri Poincare. Analyse non lineaire
fascicolo: 1, volume: 15, anno: 1998,
pagine: 73 - 111
SICI:
0294-1449(1998)15:1<73:EAUROS>2.0.ZU;2-3
Fonte:
ISI
Lingua:
ENG
Soggetto:
CRITICAL SOBOLEV EXPONENT; POSITIVE SOLUTIONS; DOMAIN; SHAPE;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
Science Citation Index Expanded
Citazioni:
12
Recensione:
Indirizzi per estratti:
Citazione:
D.M. Cao et al., "EXISTENCE AND UNIQUENESS RESULTS ON SINGLE-PEAKED SOLUTIONS OF A SEMILINEAR PROBLEM", Annales de l Institut Henri Poincare. Analyse non lineaire, 15(1), 1998, pp. 73-111

Abstract

A one to one correspondence is established between the nondegenerate critical points of Q(x) in Omega and single peaked solutions of the problem -epsilon(2) Delta u + u = Q(x)u(p-1) in Omega u > 0 in Omega andu = 0 on partial derivative Omega where Omega is a bounded domain, 2 < p < (N + 2)/(N - 2), epsilon > 0, and Q(x) epsilon C(<(Omega)over bar>) boolean AND C-2(Omega). In particular, we establish the uniquenessof the least energy solution when Q(x) attains its maximum in <(Omega)over bar> at only one nondegenerate critical point in Omega. (C) Elsevier, Paris.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 23/01/20 alle ore 03:38:45