Mixed boundary value problems for fully nonlinear degenerate or singular equations - Archive ouverte HAL
Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2022

Mixed boundary value problems for fully nonlinear degenerate or singular equations

Résumé

We prove existence, uniqueness and regularity results for mixed boundary value problems associated with fully nonlinear, possibly singular or degenerate elliptic equations. Our main result is a global Hölder estimate for solutions, obtained by means of the comparison principle and the construction of ad hoc barriers. The global Hölder estimate immediately yields a compactness result in the space of solutions, which could be applied in the study of principal eigenvalues and principal eigenfunctions of mixed boundary value problems.
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Dates et versions

hal-03821673 , version 1 (19-10-2022)

Identifiants

Citer

Isabeau Birindelli, Françoise Demengel, Fabiana Leoni. Mixed boundary value problems for fully nonlinear degenerate or singular equations. Nonlinear Analysis: Theory, Methods and Applications, 2022, 223, pp.113006. ⟨10.1016/j.na.2022.113006⟩. ⟨hal-03821673⟩
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