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math.AP2024
Improved regularity estimates for Hardy-Hénon-type equations driven by the -Laplacian
Elzon C. Bezerra Júnior, João Vitor da Silva, Thialita M. Nascimento +1
In this work, we establish sharp and improved regularity estimates for viscosity solutions of Hardy-Hénon-type equations with possibly singular weights and strong absorption govern…
math.AP2024
Sharp and improved regularity estimates for weighted quasilinear elliptic equations of Laplacian type and applications
João Vitor da Silva, Disson dos Prazeres, Gleydson Ricarte +1
In this manuscript, we obtain sharp and improved regularity estimates for weak solutions of weighted quasilinear elliptic models of Hardy-Hénon-type, featuring an explicit regulari…
math.AP2024
Oscillatory free boundary problems in stochastic materials
Damião J. Araújo, Ginaldo S. Sá, Eduardo V. Teixeira +1
We investigate a class of free boundary problems with oscillatory singularities within stochastic materials. Our main result yields sharp regularity estimates along the free bounda…