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Influence of Gradient Terms on the Existence of Solutions to the Dirichlet Problem for p-Laplacian

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We study the Dirichlet problem for the inhomogeneous p-Laplace equation with a nonlinear source and a gradient term. We investigate the influence of the gradient term on the existence of radially symmetric solutions. Sufficient conditions for the existence of solutions are explicetly given in terms of the data of the problem.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, Novosibirsk, 630090, Russia

    Ar. S. Tersenov

  2. Novosibirsk State University, 2, ul. Pirogova, Novosibirsk, 630090, Russia

    Ar. S. Tersenov

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  1. Ar. S. Tersenov
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Correspondence to Ar. S. Tersenov.

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Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 16, No. 1, 2016, pp. 130-142.

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Tersenov, A.S. Influence of Gradient Terms on the Existence of Solutions to the Dirichlet Problem for p-Laplacian. J Math Sci 228, 463–474 (2018). https://doi.org/10.1007/s10958-017-3635-6

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  • DOI: https://doi.org/10.1007/s10958-017-3635-6

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