We study a semilinear Robin problem driven by the Laplacian plus an indefinite potential. We consider the case where the reaction term f is a Carathéodory function exhibiting linear growth near ±∞. So, we establish the existence of at least two solutions, by using the Lyapunov-Schmidt reduction method together with variational tools.
Vetro C. (2020). Semilinear Robin problems driven by the Laplacian plus an indefinite potential. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 65(4), 573-587 [10.1080/17476933.2019.1597066].
Semilinear Robin problems driven by the Laplacian plus an indefinite potential
Vetro C.
2020-01-01
Abstract
We study a semilinear Robin problem driven by the Laplacian plus an indefinite potential. We consider the case where the reaction term f is a Carathéodory function exhibiting linear growth near ±∞. So, we establish the existence of at least two solutions, by using the Lyapunov-Schmidt reduction method together with variational tools.
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