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Non-standard bifurcation approach to nonlinear elliptic problems

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A5_Suarez.pdf(440.7 KB)
Date
2020
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EUT Edizioni Università di Trieste
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Abstract
Bifurcation is a very useful method to prove the existence of positive solutions for nonlinear elliptic equations. The existence of an unbounded continuum of positive solutions emanating from zero or from infinity can be deduced in many problems. In this paper, we show the applicability of this method in some problems where the classical bifurcation results can not be directly applied.
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Bifurcation, positive solutions, family of supersolutions
Citation
W. Cintra, C. Morales-Rodrigo, A. Suarez, "Non-standard bifurcation approach to nonlinear elliptic problems" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020
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http://hdl.handle.net/10077/30769
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Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.52 (2020), 1st and 2nd Issue