Positive radial solutions for Dirichlet problems in the ball

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2023_NA_Rodriguez-Lopez_Positive radial solutions for Dirichlet.pdf (1.01 MB)
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URI: http://hdl.handle.net/10347/33098
ISSN: 0362-546X
DOI: 10.1016/j.na.2023.113470

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2024

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Elsevier
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We are concerned with existence, localization and multiplicity of positive radial solutions to Dirichlet problems with Ø-Laplacians in a ball, in both scalar and system cases. Our approach essentially relies on fixed point index computations and a main feature is that it avoids any Harnack type inequality. Applications to some problems involving operators with Uhlenbeck structure are discussed.

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Dirichlet problem| Operator with Uhlenbeck structure| Positive radial solution| Fixed point index| Mean curvature operator| p-Laplacian

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Nonlinear Analysis Volume 240, March 2024, 113470

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J. Rodríguez–López has been partially supported by Ministerio de Ciencia y Tecnología (Spain), AIE and Feder , grant PID2020-113275GB-I00.

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© 2023 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

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Estatística, Análise Matemática e Optimización