Oblique derivative problem in a plane sector for strong quasi-linear elliptic equation with p-Laplacian

ABSTRACT

We study the behavior near the boundary corner point of weak bounded solutions to the oblique derivative problem for singular p-Laplacian equation with strong nonlinearities singular absorption term in a bounded plane sector. However, no work has been done for investigating the behavior of solutions to the oblique problem for singular p-Laplacian equation in a corner.

KEYWORDS:

• Oblique problem
• singular equation
• p-Laplacian
• corner point

AMS SUBJECT CLASSIFICATIONS:

• 35J20
• 35J25
• 35J60
• 35J75

Disclosure statement

No potential conflict of interest was reported by the author(s).