Influence of Gradient Terms on the Existence of Solutions to the Dirichlet Problem for p-Laplacian
- Авторы: Tersenov A.1,2
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Учреждения:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Выпуск: Том 228, № 4 (2018)
- Страницы: 463-474
- Раздел: 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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Аннотация
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.
Об авторах
Ar. Tersenov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Автор, ответственный за переписку.
Email: aterseno@math.nsc.ru
Россия, 4, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090