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- W2765583868 abstract "We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions. Our approach depends on local and global bifurcation analysis from the zero solution in a non-regular setting, since the nonlinearities considered are not differentiable at zero, so that the standard bifurcation theory does not apply. To overcome this difficulty, we combine a regularization scheme with a priori bounds, and Whyburn's topological method. Furthermore, via a continuity argument we prove a positivity property for subcontinua of nonnegative solutions. These results are based on a positivity theorem for the associated concave problem proved in [15], and extend previous results established in the powerlike case." @default.
- W2765583868 created "2017-11-10" @default.
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- W2765583868 date "2017-10-21" @default.
- W2765583868 modified "2023-09-23" @default.
- W2765583868 title "Loop type subcontinua of positive solutions for indefinite concave-convex problems" @default.
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- W2765583868 doi "https://doi.org/10.48550/arxiv.1710.07802" @default.
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