POSITIVE SOLUTIONS OF CONVEX NONLINEAR EIGENVALUE PROBLEMS.

Herbert Amann; Theodore Laetsch

doi:10.1512/iumj.1976.25.25021

POSITIVE SOLUTIONS OF CONVEX NONLINEAR EIGENVALUE PROBLEMS.

Herbert Amann, Theodore Laetsch

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

Nonlinear elliptic eigenvalue problems are studied of the form Lx equals lambda F(x) in OMEGA , Bx equals O on the boundary of OMEGA . The lambda -set is determined for which the boundary value problem has at least two positive solutions.

Original language	English (US)
Pages (from-to)	259-270
Number of pages	12
Journal	Indiana University Mathematics Journal
Volume	25
Issue number	3
DOIs	https://doi.org/10.1512/iumj.1976.25.25021
State	Published - 1976
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1512/iumj.1976.25.25021

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title = "POSITIVE SOLUTIONS OF CONVEX NONLINEAR EIGENVALUE PROBLEMS.",

abstract = "Nonlinear elliptic eigenvalue problems are studied of the form Lx equals lambda F(x) in OMEGA , Bx equals O on the boundary of OMEGA . The lambda -set is determined for which the boundary value problem has at least two positive solutions.",

author = "Herbert Amann and Theodore Laetsch",

note = "Funding Information: * This work was supported by a fellowship from the Fannie and John Hertz Foundation, hy the U. S. Army Research Office (Durham) under Contract DAHCO 4-68-C-0006 and by the Applied Mathematics Summer Institute (1972) sponsored by the O&e of Naval Research under Contract No. N00014-67-A-0027.",

year = "1976",

doi = "10.1512/iumj.1976.25.25021",

language = "English (US)",

volume = "25",

pages = "259--270",

journal = "Indiana University Mathematics Journal",

issn = "0022-2518",

publisher = "Indiana University",

number = "3",

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T1 - POSITIVE SOLUTIONS OF CONVEX NONLINEAR EIGENVALUE PROBLEMS.

AU - Amann, Herbert

AU - Laetsch, Theodore

N1 - Funding Information: * This work was supported by a fellowship from the Fannie and John Hertz Foundation, hy the U. S. Army Research Office (Durham) under Contract DAHCO 4-68-C-0006 and by the Applied Mathematics Summer Institute (1972) sponsored by the O&e of Naval Research under Contract No. N00014-67-A-0027.

PY - 1976

Y1 - 1976

N2 - Nonlinear elliptic eigenvalue problems are studied of the form Lx equals lambda F(x) in OMEGA , Bx equals O on the boundary of OMEGA . The lambda -set is determined for which the boundary value problem has at least two positive solutions.

AB - Nonlinear elliptic eigenvalue problems are studied of the form Lx equals lambda F(x) in OMEGA , Bx equals O on the boundary of OMEGA . The lambda -set is determined for which the boundary value problem has at least two positive solutions.

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DO - 10.1512/iumj.1976.25.25021

M3 - Article

AN - SCOPUS:0016926581

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EP - 270

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

SN - 0022-2518

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POSITIVE SOLUTIONS OF CONVEX NONLINEAR EIGENVALUE PROBLEMS.

Abstract

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