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math.AP2023★ 1 cited
Neumann -Laplacian problems with a reaction term on metric spaces
Antonella Nastasi
We use a variational approach to study existence and regularity of solutions for a Neumann -Laplacian problem with a reaction term on metric spaces equipped with a doubling meas…
math.AP2023
Regularity results for quasiminima of a class of double phase problems
Antonella Nastasi, Cintia Pacchiano Camacho
We prove boundedness, Hölder continuity, Harnack inequality results for local quasiminima to elliptic double phase problems of -Laplace type in the general context of metric mea…
math.AP2023
Gradient higher integrability for double phase problems on metric measure spaces
Juha Kinnunen, Antonella Nastasi, Cintia Pacchiano Camacho
We study local and global higher integrability properties for quasiminimizers of a class of double-phase integrals characterized by nonstandard growth conditions. We work purely on…