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Construction of solutions of an elliptic PDE with a supercritical exponent nonlinearity using the finite dimensional reduction

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Abstract

In this paper, we construct some solutions of an elliptic PDE with a supercritical exponent nonlinearity. We follow the ideas of Bahri–Li–Rey (Calc Var Partial Differ Equ V.3:67–93, 1995) by using the finite dimensional reduction.

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Correspondence to Kamal Ould Bouh.

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Communicated by Ansgar Jüngel.

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Ben Ayed, M., Ould Bouh, K. Construction of solutions of an elliptic PDE with a supercritical exponent nonlinearity using the finite dimensional reduction. Monatsh Math 192, 49–63 (2020). https://doi.org/10.1007/s00605-020-01386-8

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  • DOI: https://doi.org/10.1007/s00605-020-01386-8

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