Existence through convexity for the truncated Laplacians

DOI10.1007/s00208-019-01953-xzbMath1466.35203arXiv1902.08822OpenAlexW2999472012WikidataQ126406231 ScholiaQ126406231MaRDI QIDQ2664146

Giulio Galise, Hitoshi Ishii, Isabeau Birindelli

Publication date: 20 April 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.08822

zbMATH Keywords

Dirichlet problemexistenceconvexity of the domaintruncated Laplacians

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70)

Related Items (9)

Asymptotic mean-value formulas for solutions of general second-order elliptic equations ⋮ Allen-Cahn equation for the truncated Laplacian: unusual phenomena ⋮ Fractional truncated Laplacians: representation formula, fundamental solutions and applications ⋮ A family of nonlocal degenerate operators: maximum principles and related properties ⋮ Liouville Theorems for infinity Laplacian with gradient and KPP type equation ⋮ Games associated with products of eigenvalues of the Hessian ⋮ Unnamed Item ⋮ Positivity sets of supersolutions of degenerate elliptic equations and the strong maximum principle ⋮ Maximum principles and related problems for a class of nonlocal extremal operators

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