A negative result on regularity estimates on finite radial Morse index solutions to elliptic problems
| Autor: | Martinez-Baena, J. Silverio, Villegas, Salvador |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | In the regularity theory of solutions to elliptic partial differential equations often the concept of stability plays the role of a sufficient condition for smoothness. It is a natural question to ask if this holds true for nonstable but finite Morse index solutions. We provide a negative answer showing the existence of sequences of solutions with radial Morse index equal to 1 for which regularity estimates can not be satisfied. Comment: 8 pages |
| Databáze: | arXiv |
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