A UNIFIED APPROACH TO SOLVABILITY CONDITIONS FOR NONLINEAR SECOND-ORDER ELLIPTIC EQUATIONS AT RESONANCE

It is shown that known solvability conditions and several new existence results for semilinear elliptic boundary value problems at resonance can be considered from a unified point of view. The proofs apply Leray–Schauder degree arguments. 1991 Mathematics Subject Classification 35J65, 47H11, 47H15....

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Published inThe Bulletin of the London Mathematical Society Vol. 31; no. 4; pp. 385 - 414
Main Author RUNST, THOMAS
Format Journal Article
LanguageEnglish
Published Cambridge University Press 01.07.1999
Oxford University Press
Subjects
SURVEY
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ISSN0024-6093
1469-2120
DOI10.1112/S0024609399005858

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Abstract It is shown that known solvability conditions and several new existence results for semilinear elliptic boundary value problems at resonance can be considered from a unified point of view. The proofs apply Leray–Schauder degree arguments. 1991 Mathematics Subject Classification 35J65, 47H11, 47H15.
AbstractList It is shown that known solvability conditions and several new existence results for semilinear elliptic boundary value problems at resonance can be considered from a unified point of view. The proofs apply Leray–Schauder degree arguments.
It is shown that known solvability conditions and several new existence results for semilinear elliptic boundary value problems at resonance can be considered from a unified point of view. The proofs apply Leray–Schauder degree arguments. 1991 Mathematics Subject Classification 35J65, 47H11, 47H15.
Author RUNST, THOMAS
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Snippet It is shown that known solvability conditions and several new existence results for semilinear elliptic boundary value problems at resonance can be considered...
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Title A UNIFIED APPROACH TO SOLVABILITY CONDITIONS FOR NONLINEAR SECOND-ORDER ELLIPTIC EQUATIONS AT RESONANCE
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