Multiple positive solutions of superlinear elliptic problems with sign-changing weight
(2005) Journal of Differential Equations — Vol. 214, n° 1, p. 36-64 (2005)
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- Abstract
- We study the existence of multiple positive solutions for a superlinear elliptic PDE with a sign-changing weight. Our approach is variational and relies on classical critical point theory on smooth manifolds. A special care is paid to the localization of minimax critical points. (c) 2004 Elsevier Inc. All rights reserved.
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Citations
Bonheure, D., Gomes, J., & Habets, P. (2005). Multiple positive solutions of superlinear elliptic problems with sign-changing weight. Journal of Differential Equations, 214(1), 36-64. https://doi.org/10.1016/j.jde.2004.08.009 (Original work published 2005)