For mixed local-nonlocal singular quasilinear elliptic problems, the authors establish existence, uniqueness under a boundary-weight restriction, sharp Sobolev regularity, boundary behavior, and Hölder regularity with exponents depending on beta plus delta.
Semilinear problems for the fractional Laplacian with a singular nonlinearity
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Regularity results for a class of mixed local and nonlocal singular problems involving distance function
For mixed local-nonlocal singular quasilinear elliptic problems, the authors establish existence, uniqueness under a boundary-weight restriction, sharp Sobolev regularity, boundary behavior, and Hölder regularity with exponents depending on beta plus delta.