Infinitely many smooth nodal solutions for Orlicz Robin problems

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Date
2023-08-17
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Mark
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Elsevier
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Abstract
In this note, we study a Robin problem driven by the Orlicz g-Laplace operator. In particular, by using a regularity result and Kajikiya's theorem, we prove that the problem has a whole sequence of distinct smooth nodal solutions converging to the trivial one. The analysis is developed in the most general abstract setting that corresponds to Orlicz-Sobolev function spaces.
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APPLIED MATHEMATICS LETTERS. 2023, vol. 142, issue 1, p. 1-7.
https://www.sciencedirect.com/science/article/pii/S0893965923000678
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Peer-reviewed
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en
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Creative Commons Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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