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 Holder estimate for solutions, obtained by means of the comparison principle and the construction of ad hoc barriers. The global Holder 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. (c) 2022 Elsevier Ltd. All rights reserved.
Mixed boundary value problems for fully nonlinear degenerate or singular equations / Birindelli, I.; Demengel, F.; Leoni, F.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 223:(2022). [10.1016/j.na.2022.113006]
Mixed boundary value problems for fully nonlinear degenerate or singular equations
Birindelli I.;Demengel F.;Leoni F.
2022
Abstract
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 Holder estimate for solutions, obtained by means of the comparison principle and the construction of ad hoc barriers. The global Holder 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. (c) 2022 Elsevier Ltd. All rights reserved.| File | Dimensione | Formato | |
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