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Multiple solutions for inhomogeneous elliptic problems arising in astrophysics

Technical Report:

Abstract

By variational and topological methods we prove the existence of a positive interval {Lambda} such that for all {lambda} {epsilon} {Lambda} there exists at least three positive solutions of (1.1) on {Omega} = D{sub R} {l_brace}(x,y) {epsilon} R{sup 2}{sub +}: x{sup 2} + y{sup 2} < R{sup 2}{r_brace}, where f: R {yields} R is a function of type (t{sup {sigma}}-t{sup {sigma}+{alpha}}){sub {chi}(0,1)}(t) with {sigma} > 1 and {alpha} {<=} 1, h is a non negative bounded smooth function. Under some restrictions for f and h we show that {Lambda} is independent of R, for R big enough. This type of problem arises in an astrophysical gravity free model of solar flares given by Heyvaerts et al. (author). 9 refs.
Publication Date:
Jul 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/159
Reference Number:
SCA: 661000; 661300; PA: AIX-22:081532; SN: 91000608729
Resource Relation:
Other Information: PBD: Jul 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY-VALUE PROBLEMS; TOPOLOGY; VARIATIONAL METHODS; SOLAR FLARES; 661000; 661300; GENERAL PHYSICS; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10105548
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92609040; TRN: XA9129679081532
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
19 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Calahorrano, M, and Dobarro, F. Multiple solutions for inhomogeneous elliptic problems arising in astrophysics. IAEA: N. p., 1991. Web.
Calahorrano, M, & Dobarro, F. Multiple solutions for inhomogeneous elliptic problems arising in astrophysics. IAEA.
Calahorrano, M, and Dobarro, F. 1991. "Multiple solutions for inhomogeneous elliptic problems arising in astrophysics." IAEA.
@misc{etde_10105548,
title = {Multiple solutions for inhomogeneous elliptic problems arising in astrophysics}
author = {Calahorrano, M, and Dobarro, F}
abstractNote = {By variational and topological methods we prove the existence of a positive interval {Lambda} such that for all {lambda} {epsilon} {Lambda} there exists at least three positive solutions of (1.1) on {Omega} = D{sub R} {l_brace}(x,y) {epsilon} R{sup 2}{sub +}: x{sup 2} + y{sup 2} < R{sup 2}{r_brace}, where f: R {yields} R is a function of type (t{sup {sigma}}-t{sup {sigma}+{alpha}}){sub {chi}(0,1)}(t) with {sigma} > 1 and {alpha} {<=} 1, h is a non negative bounded smooth function. Under some restrictions for f and h we show that {Lambda} is independent of R, for R big enough. This type of problem arises in an astrophysical gravity free model of solar flares given by Heyvaerts et al. (author). 9 refs.}
place = {IAEA}
year = {1991}
month = {Jul}
}