Existence, Stability and Oscillation Properties of Slow-Decay Positive Solutions of Supercritical Elliptic Equations with Hardy Potential

DOI10.1017/S0013091513000588zbMath1310.35120arXiv1108.4668MaRDI QIDQ5173090

Vitaly Moroz, Jean Van Schaftingen

Publication date: 6 February 2015

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4668

zbMATH Keywords

stable solutionsHardy potentialsupercritical elliptic equationsJoseph-Lundgren critical exponentslow-decay solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

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Intersection properties for singular radial solutions of quasilinear elliptic equations with Hardy type potentials, On a diffusion model with absorption and production, Uniqueness and asymptotic behavior of positive solution of quasilinear elliptic equations with Hardy potential, Structure results for semilinear elliptic equations with Hardy potentials

Cites Work

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