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

Santanilla, Jairo

doi:10.1090/S0002-9939-1989-0964462-9

Existence of nonnegative solutions of a semilinear equation at resonance with linear growth
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Proc. Amer. Math. Soc. 105 (1989), 963-971 Request permission

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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