Work

A negative result on regularity estimates of finite radial Morse index solutions to elliptic problems

Year: 2024

Type: article

Abstract: 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.

Source: Communications on Pure &amp Applied Analysis

DOI: 10.3934/cpaa.2024092

Authors: J. Silverio Martínez-Baena, Salvador Villegas

Institution: Universidad de Granada

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404612902

FWCI:

Cites:

Cited by:

Related to: 10