This paper is devoted to the study of the effects of indefinite weights on some following nonlinear Neumann problems. Our results establish a relation between the position of a parameter and the number of nontrivial classical solutions of these problems. The proof combines spectral analysis tools, variational methods and the Clark multiplicity theorem.
Bifurcation beyond the principal eigenvalues for Neumann problems with indefinite weights / M. Calanchi, B. Ruf. - In: ADVANCES IN PURE AND APPLIED MATHEMATICS. - ISSN 1869-6090. - 14:2(2023), pp. 14-30. [10.21494/ISTE.OP.2023.0935]
Bifurcation beyond the principal eigenvalues for Neumann problems with indefinite weights
M. Calanchi
Co-primo
;B. RufCo-primo
2023
Abstract
This paper is devoted to the study of the effects of indefinite weights on some following nonlinear Neumann problems. Our results establish a relation between the position of a parameter and the number of nontrivial classical solutions of these problems. The proof combines spectral analysis tools, variational methods and the Clark multiplicity theorem.
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