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Regularity for the normalized p-Laplacian equation with an arbitrary degeneracy law
Claudemir Alcantara, Makson Santos
We examine the interior regularity of solutions to a degenerate normalized -Laplace equation, where the degeneracy is governed by a modulus of continuity whose inverse satisfies…
Comparison Principle, A.B.P.-type estimates for solutions of quasi-linear elliptic equations in non-divergence form and some implications
Junior da S. Bessa, Reshmi Biswas, João Vitor da Silva +2
In this work, we establish global gradient estimates to solutions of quasilinear elliptic models in non-divergence form with general degeneracy law and a Hamiltonian term, given by…
Higher regularity estimates for solutions to -Laplacian-type models
João Vitor da Silva, Makson S. Santos, Mayra Soares
In this work, we tackle the higher regularity estimates of solutions to inhomogeneous Laplacian equations at interior critical points. Our estimates provide smoothness pro…