Positive radial solutions for Dirichlet problems via a Harnack-type inequality

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2022_MathMethodsAppSciences_Precup_Positive.pdf (311.29 KB)
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URI: http://hdl.handle.net/10347/29253
ISSN: 1099-1476
DOI: 10.1002/mma.8682

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2022

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Wiley
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We deal with the existence and localization of positive radial solutions for Dirichlet problems involving -Laplacian operators in a ball. In particular, -Laplacian and Minkowski-curvature equations are considered. Our approach relies on fixed point index techniques, which work thanks to a Harnack-type inequality in terms of a seminorm. As a consequence of the localization result, it is also derived the existence of several (even infinitely many) positive solutions

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Compression–expansion| Dirichlet problem| Fixed point index| Harnack-type inequality| Mean curvature operator| Positive radial solution

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Precup R, Rodríguez-López J. Positive radial solutions for Dirichlet problems via aHarnack-type inequality.Math Meth Appl Sci. 2022;1-14. doi:10.1002/mma.8682

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Jorge Rodríguez-López was partially supported by the Institute of Advanced Studies in Science and Technology of Babeş-Bolyai University of Cluj-Napoca (Romania) under a Postdoctoral Advanced Fellowship, project CNFIS-FDI-2021-0061 and by Xunta de Galicia (Spain), project ED431C 2019/02 and AIE, Spain, and FEDER, grant PID2020-113275GB-I00

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© 2022 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited
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Estatística, Análise Matemática e Optimización