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Second-order boundary estimates for solutions to a class of quasilinear elliptic equations
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DOI：10.1007/s10231-026-01672-6.png)
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Abstract
En 中文
We prove global second-order regularity for a class of quasilinear elliptic equations, both with homogeneous Dirichlet and Neumann boundary conditions. A condition on the integrability of the second fundamental form on the boundary of the domain is required. As a consequence, with the additional assumption that the source term has a sign, we obtain integrability properties of the inverse of the gradient of the solution. Assuming convexity of the domain, no boundary regularity is required.
Keywords:
Quasilinear elliptic equations
Orlicz spaces
Second-order derivatives
Regularity
Journal
A
IF:
0.9
Papers:
75
Citations:
0
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Cited Papers