Infinitely many radial solutions for a p-Laplacian problem p-superlinear at the origin

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Abstract

We prove the existence of infinitely many radial solutions for a p-Laplacian Dirichlet problem which is p-superlinear at the origin. The main tool that we use is the shooting method. We extend for more general nonlinearities the results of J. Iaia in [J. Iaia, Radial solutions to a p-Laplacian Dirichlet problem, Appl. Anal. 58 (1995) 335-350]. Previous developments require a behavior of the nonlinearity at zero and infinity, while our main result only needs a condition of the nonlinearity at zero. © 2010 Elsevier Inc.

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Cossio, J., Herrón, S., & Vélez, C. (2011). Infinitely many radial solutions for a p-Laplacian problem p-superlinear at the origin. Journal of Mathematical Analysis and Applications, 376(2), 741–749. https://doi.org/10.1016/j.jmaa.2010.10.075

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