Published 1998 | Version v1
Journal article

Genericity of the existence of infinitely many solutions for a class of semilinear elliptic equations in RN

  • 1. Turin Politecnico, Turin (Italy). Dipt. di matematica
  • 2. Scuola Superiore di Studi Avanzati, Trieste (Italy)
  • 3. Trieste Univ., Trieste (Italy). Dipt. di matematica

Description

By variational methods, it is shown that there exists a set Α open and dense in {a is an element of L∞(RN) : lim inf/x/→∞a(x)≥O} such that if a is an element of Α then the problem -Δu+u = a(x)/u/p-1u, u is an element of H1(RN), with p subcritical (or more general nonlinearities), admits infinitely many solutions

Additional details

Publishing Information

Journal Title
Annali della Scuola Normale Superiore di Pisa. Classe di Scienze
Journal Volume
27
Journal Issue
1
Journal Page Range
p. 47-68
ISSN
0391-173X

INIS

Country of Publication
Italy
Country of Input or Organization
Italy
INIS RN
31021565
Subject category
S99: GENERAL AND MISCELLANEOUS;
Descriptors DEI
ANALYTICAL SOLUTION; CALCULATION METHODS; EQUATIONS; MATHEMATICS; VARIATIONAL METHODS
Descriptors DEC
CALCULATION METHODS