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Keywords:
semilinear equations at resonance; boundary value problems
semilinear equations at resonance; boundary value problems
Summary:
The existence of nonzero nonnegative solutions are established for semilinear equations at resonance with the zero solution and possessing at most linear growth. Applications are given to nonlinear boundary value problems of ordinary differential equations.
References:
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[2] Nieto J.: Existence of solutions in a cone for nonlinear alternative problems. Proc. Amer. Math. Soc. 94 (1985), 433-436. MR 0787888 | Zbl 0585.47050
[3] Przeradzki B.: A note on solutions of semilinear equations at resonance in a cone. Ann. Polon. Math. 58 (1993), 95-103. MR 1215764 | Zbl 0776.34035
[4] Santanilla J.: Existence of nonnegative solutions of a semilinear equation at resonance with linear growth. Proc. Amer. Math. Soc. 105 (1989), 963-971. MR 0964462 | Zbl 0687.47045
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