A generalization of a lemma of Boccardo and Orsina and application
Hongya Gao, Meng Gao, Siyu Gao
TL;DR
This paper generalizes a key lemma to enhance understanding of regularity properties of minima in noncoercive integral functionals, advancing mathematical analysis in calculus of variations.
Contribution
It introduces a broader version of Boccardo and Orsina's lemma and applies it to establish regularity results for noncoercive energy minimizers.
Findings
Generalized lemma applicable to wider class of problems
Proved regularity of minima in noncoercive settings
Enhanced mathematical tools for calculus of variations
Abstract
We present a generalization of a technical lemma due to Boccardo and Orsina, and then give an application to regularity of minima for integral functionals noncoercive in the energy space.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Numerical methods in inverse problems · Stability and Controllability of Differential Equations