Existence of nonnegative solutions of a semilinear equation at resonance with linear growth

Author:
Jairo Santanilla

Journal:
Proc. Amer. Math. Soc. **105** (1989), 963-971

MSC:
Primary 34C15; Secondary 34B15, 47H15

DOI:
https://doi.org/10.1090/S0002-9939-1989-0964462-9

MathSciNet review:
964462

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Abstract | References | Similar Articles | Additional Information

Abstract: A coincidence degree result is established to study sufficient conditions for the existence of nonnegative solutions of a semilinear equation at resonance in which the nonlinearity has at most linear growth. Nonnegative solutions to some boundary value problems are obtained to illustrate the theory.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1989-0964462-9

Keywords:
Coincidence degree,
semilinear equations at resonance,
boundary value problems

Article copyright:
© Copyright 1989
American Mathematical Society