On the number of blowing-up solutions to a nonlinear elliptic equation with critical growth

A Micheletti; A Pistoia; Daniela Visetti

doi:10.1216/rmjm/1181069333

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On the number of blowing-up solutions to a nonlinear elliptic equation with critical growth

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On the number of blowing-up solutions to a nonlinear elliptic equation with critical growth

A Micheletti, A Pistoia and Daniela Visetti

Rocky Mountain Journal of Mathematics, Vol.37(1), pp.291-325

2007

DOI: https://doi.org/10.1216/rmjm/1181069333

Handle:

https://hdl.handle.net/10863/3438

Abstract

Uniqueness result

Critical exponent

In this paper we estimate the number of solutions to {-Δω + V(x)ω = n(n - 2)ω in R ω > 0 in R ω ∈ D(R) which blow up at a suitable critical point of the potential V as the parameter ∈ goes to zero. Copyright © 2007 Rocky Mountain Mathematics Consortium.

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Details

Title: On the number of blowing-up solutions to a nonlinear elliptic equation with critical growth
Creators: A Micheletti
A Pistoia
Daniela Visetti
Publication Details: Rocky Mountain Journal of Mathematics, Vol.37(1), pp.291-325
ISSN: 0035-7596
Series / Volume: 37
Publisher: Rocky Mountain Mathematics Consortium
Identifiers: (UNIBZ)23303319
991005773641301241
Web of Science ID: 000246646100018
Scopus ID: 2-s2.0-34249677800
Academic Unit: Faculty of Economics and Management
Language: English
Resource Type: Journal article
Author Names String: Micheletti A, Pistoia A, Visetti D

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