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Existence of Non-degenerate Continua of Singular Radial Solutions for Several Classes of Semilinear Elliptic Problems

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Abstract

We establish the existence of countably many branches of uncountably many solutions to elliptic boundary value problems with subcritical, and subsuper critical growth. We also prove the existence of two branches of uncountably many solutions to a problem with jumping nonlinearities. This case is remarkable since, generically, this problem has only finitely many regular solutions.

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Correspondence to Alfonso Castro.

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This work was partially supported by a grant from the Simons Foundation (# 245966 to Alfonso Castro).

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Ardila, V., Caicedo, J. & Castro, A. Existence of Non-degenerate Continua of Singular Radial Solutions for Several Classes of Semilinear Elliptic Problems. Milan J. Math. 82, 313–330 (2014). https://doi.org/10.1007/s00032-014-0226-6

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  • DOI: https://doi.org/10.1007/s00032-014-0226-6

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