Boundary asymptotic and uniqueness of solutions to the \(p\)-Laplacian with infinite boundary values. (English) Zbl 1142.35412
Summary: We prove boundary asymptotics to solutions of weighted \(p\)-Laplacian equations that take infinite value on the boundary of a bounded domain. Uniqueness of such solutions would then follow as a consequence. Our results extend previously known results by allowing weights that are unbounded in the domain.
MSC:
| 35J60 | Nonlinear elliptic equations |
| 35J67 | Boundary values of solutions to elliptic equations and elliptic systems |
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