TY - JOUR
T1 - Concavity properties for solutions to p-Laplace equations with concave nonlinearities
AU - Borrelli, William
AU - Mosconi, S.
AU - Squassina, Marco
PY - 2022
Y1 - 2022
N2 - We obtain new concavity results, up to a suitable transformation, for a class of quasi-linear equations in a convex domain involving the p-Laplace operator and a general nonlinearity satisfying concavity-type assumptions. This provides an extension of results previously known in the literature only for the torsion and the first eigenvalue equations. In the semilinear case p = 2 {p=2} the results are already new since they include new admissible nonlinearities.
AB - We obtain new concavity results, up to a suitable transformation, for a class of quasi-linear equations in a convex domain involving the p-Laplace operator and a general nonlinearity satisfying concavity-type assumptions. This provides an extension of results previously known in the literature only for the torsion and the first eigenvalue equations. In the semilinear case p = 2 {p=2} the results are already new since they include new admissible nonlinearities.
KW - Quasilinear problems
KW - convexity of solutions
KW - maximum principles
KW - Quasilinear problems
KW - convexity of solutions
KW - maximum principles
UR - https://publicatt.unicatt.it/handle/10807/229409
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85135171788&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85135171788&origin=inward
U2 - 10.1515/acv-2021-0100
DO - 10.1515/acv-2021-0100
M3 - Article
SN - 1864-8258
VL - 0
SP - 1
EP - 19
JO - Advances in Calculus of Variations
JF - Advances in Calculus of Variations
IS - 0
ER -