Proceedings of the American Mathematical Society

Author(s): Shingo Takeuchi
Journal: Proc. Amer. Math. Soc. 129 (2001), 433-441.
MSC (2000): Primary 35J70; Secondary 35B30
Posted: August 29, 2000
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The degenerate elliptic equation $\lambda \Delta_p u +u^{q-1}(1-u^r)=0$ with zero Dirichlet boundary condition, where $\lambda$ is a positive parameter,

and

, is studied in three aspects: existence of maximal solution, $\lambda$ -dependence of maximal solution and multiplicity of solutions.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35J70, 35B30

Shingo Takeuchi
Affiliation: Department of Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan
Email: stakeuchi@nyc.odn.ne.jp

DOI: 10.1090/S0002-9939-00-05723-3
PII: S 0002-9939(00)05723-3
Keywords: $p$-Laplace operator, degenerate elliptic equation, flat hat, flat core, multiple solutions
Received by editor(s): April 15, 1999
Posted: August 29, 2000
Additional Notes: This work was partially supported by JSPS Research Fellowships for Japanese Young Scientists.
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2000, American Mathematical Society

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