Springer Nature
Calculus of Variations and Partial Differential Equations
,  том 64 ,  издание 3 ,  номер публикации 76

Second order $$L_p$$ estimates for subsolutions of fully nonlinear equations

Тип публикации: Journal Article
Дата публикации: 2025-02-06
Springer Nature
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SJR: 2.405
CiteScore: 3.4
Impact factor: 2.0
ISSN: 09442669, 14320835
Краткое описание

We obtain new $$L_p$$ L p estimates for subsolutions to fully nonlinear equations. Based on our $$L_p$$ L p estimates, we further study several topics such as the third and fourth order derivative estimates for concave fully nonlinear equations, critical exponents of $$L_p$$ L p estimates and maximum principles, and the existence and uniqueness of solutions to fully nonlinear equations on the torus with free terms in the $$L_p$$ L p spaces or in the space of Radon measures.

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Dong H. et al. Second order $$L_p$$ estimates for subsolutions of fully nonlinear equations // Calculus of Variations and Partial Differential Equations. 2025. Vol. 64. No. 3. 76
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Dong H., Kitano S. Second order $$L_p$$ estimates for subsolutions of fully nonlinear equations // Calculus of Variations and Partial Differential Equations. 2025. Vol. 64. No. 3. 76
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TY - JOUR
DO - 10.1007/s00526-025-02929-3
UR - https://link.springer.com/10.1007/s00526-025-02929-3
TI - Second order $$L_p$$ estimates for subsolutions of fully nonlinear equations
T2 - Calculus of Variations and Partial Differential Equations
AU - Dong, Hongjie
AU - Kitano, Shuhei
PY - 2025
DA - 2025/02/06
PB - Springer Nature
IS - 3
VL - 64
SN - 0944-2669
SN - 1432-0835
ER -
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@article{2025_Dong,
author = {Hongjie Dong and Shuhei Kitano},
title = {Second order $$L_p$$ estimates for subsolutions of fully nonlinear equations},
journal = {Calculus of Variations and Partial Differential Equations},
year = {2025},
volume = {64},
publisher = {Springer Nature},
month = {feb},
url = {https://link.springer.com/10.1007/s00526-025-02929-3},
number = {3},
pages = {76},
doi = {10.1007/s00526-025-02929-3}
}