On stable and finite Morse index solutions to quasilinear Schrödinger equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00030-022-00782-3.pdf
Reference17 articles.
1. Bahri, A., Lions, P.-L.: Solutions of superlinear elliptic equations and their Morse indices. Commun. Pure Appl. Math. 45(9), 1205–1215 (1992). https://doi.org/10.1002/cpa.3160450908
2. Castorina, D., Esposito, P., Sciunzi, B.: Low dimensional instability for semilinear and quasilinear problems in $${\mathbb{R}}^N$$. Commun. Pure Appl. Anal. 8(6), 1779–1793 (2009). https://doi.org/10.3934/cpaa.2009.8.1779
3. Cowan, C., Fazly, M.: On stable entire solutions of semi-linear elliptic equations with weights. Proc. Am. Math. Soc. 140(6), 2003–2012 (2012). https://doi.org/10.1090/S0002-9939-2011-11351-0
4. Damascelli, L., Farina, A., Sciunzi, B., Valdinoci, E.: Liouville results for $$m$$-Laplace equations of Lane–Emden–Fowler type. Ann. Inst. H. Poincaré Anal. Non Linéaire 26(4), 1099–1119 (2009). https://doi.org/10.1016/j.anihpc.2008.06.001
5. Dancer, E.N., Du, Y., Guo, Z.: Finite Morse index solutions of an elliptic equation with supercritical exponent. J. Differ. Equ. 250(8), 3281–3310 (2011). https://doi.org/10.1016/j.jde.2011.02.005
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1. On Dancer’s conjecture for stable solutions with sign-changing nonlinearity;Proceedings of the American Mathematical Society;2024-06-20
2. Finite Morse Index Solutions of a Nonlinear Schrödinger Equation;Acta Mathematica Sinica, English Series;2023-03
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