Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 51, pp. 1-30.

Title: Neumann-Robin problem for p(x)-Laplacian equations in a domain with the boundary edge

Author: Mikhail Borsuk (Univ. of Warmia and Mazury in Olsztyn, Poland)

Abstract:
We  investigate  the behavior of weak solutions to the mixed problem 
with Neumann and Robin  boundary conditions
for an  elliptic quasi-linear second-order equation  with the variable
$p(x)$-Laplacian   in a neighborhood of the boundary edge.

Submitted January 20, 2025. Published May 24, 2025.
Math Subject Classifications: 35J20, 35J25, 35J70.
Key Words: p(x)-Laplacian; boundary edge; mixed problem;  Neumann problem; Robin problem.