Email this article The Neumann Problem for the Generalized Hénon Equation
- Authors: Shcheglova A.P.1
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Affiliations:
- Saint Petersburg Electrotechnical University “LETI”
- Issue: Vol 235, No 3 (2018)
- Pages: 360-373
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242124
- DOI: https://doi.org/10.1007/s10958-018-4078-4
- ID: 242124
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Abstract
We study the behavior of radial solutions to the boundary value problem
\( -{\varDelta}_pu+{u}^{p-1}={\left|x\right|}^a{u}^{q-1}\; in\;B,\kern1em \frac{\partial u}{\mathrm{\partial n}}=0\; on\;\partial B,\kern1em q>p, \)![]()
in the unit ball B and prove the existence of nonradial positive solutions for some values of parameters. We obtain multiplicity results which are new even in the case p = 2.
About the authors
A. P. Shcheglova
Saint Petersburg Electrotechnical University “LETI”
Author for correspondence.
Email: alexandra.scheglova@gmail.com
Russian Federation, 5, Professora Popova St, Saint Petersburg, 197276
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