We consider eigenvalue problems and bifurcation of positive solutions for elliptic equations with indefinite weights and with Neumann boundary conditions. We give complete results concerning the existence and non- existence of positive solutions for the superlinear coercive and non-coercive problems, showing a surprising complementarity of the respective results.
Eigenvalues and bifurcation for Neumann problems with indefinite weights / M. Calanchi, B. Ruf. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - 2021:Special Issue 1(2021 Dec 14), pp. 255-268.
Eigenvalues and bifurcation for Neumann problems with indefinite weights
M. Calanchi
Primo
;B. RufUltimo
2021
Abstract
We consider eigenvalue problems and bifurcation of positive solutions for elliptic equations with indefinite weights and with Neumann boundary conditions. We give complete results concerning the existence and non- existence of positive solutions for the superlinear coercive and non-coercive problems, showing a surprising complementarity of the respective results.
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