Existence of many positive solutions of semilinear elliptic equations on an annulus

Wang, ZQ;Willem, Michel
(1999) Proceedings of the American Mathematical Society — Vol. 127, n° 6, p. 1711-1714 (1999)

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Authors
  • Wang, ZQ
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  • Willem, MichelUCLouvain
    Author
Abstract
This paper is concerned with multiplicity of positive nonradial solutions of a nonlinear eigenvalue problem on an expanding annulus domain with a fixed width in R-N with N greater than or equal to 4. For 0 < lambda < pi(2), we show that the number of nonrotationally equivalent nonradial solutions tends to infinity as the inner radius of the domain tends to infinity.
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Wang, Z., & Willem, M. (1999). Existence of many positive solutions of semilinear elliptic equations on an annulus. Proceedings of the American Mathematical Society, 127(6), 1711-1714. https://doi.org/10.1090/S0002-9939-99-04708-5 (Original work published 1999)