| Autor: |
Martínez-Baena, J. Silverio, Villegas, Salvador |
| Předmět: |
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| Zdroj: |
Communications on Pure & Applied Analysis; Mar2025, Vol. 24 Issue 3, p1-7, 7p |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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