We consider eigenvalue problems and bifurcation of positive solu- tions for elliptic equations with indefinite weights and with Neumann bound- ary 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.
Some nonlinear problems with Neumann boundary conditions: the effect of indefinite weights / M. Calanchi. 9. Workshop on Nonlinear PDEs, Geometric and Functional Analysis Online 2021.
Some nonlinear problems with Neumann boundary conditions: the effect of indefinite weights
M. Calanchi
2021
Abstract
We consider eigenvalue problems and bifurcation of positive solu- tions for elliptic equations with indefinite weights and with Neumann bound- ary 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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