Email this article Influence of Gradient Terms on the Existence of Solutions to the Dirichlet Problem for p-Laplacian
- Authors: Tersenov A.S.1,2
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Issue: Vol 228, No 4 (2018)
- Pages: 463-474
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240276
- DOI: https://doi.org/10.1007/s10958-017-3635-6
- ID: 240276
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Abstract
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.
About the authors
Ar. S. Tersenov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Author for correspondence.
Email: aterseno@math.nsc.ru
Russian Federation, 4, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
