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On fractional quasilinear equations with elliptic degeneracy
Damião J. Araújo, Disson dos Prazeres, Erwin Topp
In this work, we present a systematic approach to investigate the existence, multiplicity, and local gradient regularity of solutions for nonlocal quasilinear equations with local…
Fundamental solutions and critical Lane-Emden exponents for nonlinear integral operators in cones
Gabrielle Nornberg, Disson dos Prazeres, Alexander Quaas
In this article we study the fundamental solutions or "-harmonic functions" for some nonlinear positive homogeneous nonlocal elliptic problems in conical domains, such as \begin…
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy
Pêdra D. S. Andrade, Disson S. dos Prazeres, Makson S. Santos
We investigate the regularity of the solutions for a class of degenerate/singular fully nonlinear nonlocal equations. In the degenerate scenario, we establish that there exists at…