Infinitely many radial solutions for a p-Laplacian problem p-superlinear at the origin |
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Authors: | Jorge Cossio Sigifredo Herrón |
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Institution: | Escuela de Matemáticas, Universidad Nacional de Colombia, Apartado Aéreo 3840, Medellín, Colombia |
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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. |
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Keywords: | p-Laplace operator Radial solution Shooting method |
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