2023
DOI: 10.1007/s00526-023-02596-2
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Regularity theory and Green’s function for elliptic equations with lower order terms in unbounded domains

Mihalis Mourgoglou

Abstract: We consider elliptic operators in divergence form with lower order terms of the form $$Lu = -{{\textrm{div}}}(A \cdot \nabla u + b u ) - c \cdot \nabla u - du$$ L u = - div ( A · ∇ u + b u ) - … Show more

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Cited by 4 publications
(2 citation statements)
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“…Combining hypothesis (5), convergence (21), and the compactness result of Theorem 1, we obtain, up to a subsequence, that…”
Section: Existence Resultsmentioning
confidence: 73%
See 1 more Smart Citation
“…Combining hypothesis (5), convergence (21), and the compactness result of Theorem 1, we obtain, up to a subsequence, that…”
Section: Existence Resultsmentioning
confidence: 73%
“…A related obstacle problem can be found in [20]. Regularity results for noncoercive problems in divergence form in a linear case were obtained from [21]. We refer to [22][23][24] for the study of the Dirichlet problems in an unbounded domain under various assumptions.…”
Section: Introductionmentioning
confidence: 99%