Publication date: 10 June 2025
Volume: Vol 60
Issue: Svezak 1
Pages: 89-106
DOI: 10.3336/gm.60.1.06
Glasnik matematički, Vol. 60 No. 1, 2025.
Original scientific paper
https://doi.org/10.3336/gm.60.1.06
Summability of solutions to some degenerate elliptic equations
Aiping Zhang
; College of Mathematics and Information Science, Hebei University, Baoding, 071002, China
Pengzhen Tian
; College of Mathematics and Information Science, Hebei University, Baoding, 071002, China
Hongya Gao
orcid.org/0000-0003-0752-0650
; College of Mathematics and Information Science, Hebei University, Baoding, 071002, China
Abstract
This paper deals with boundary value problems for elliptic equations with degenerate coercivity whose prototype is
\[
\left\{\begin{array}{ll}
-\mbox {div} \left( a(x)|\nabla u (x)|^{p-2} \nabla u(x)\right) = f(x), x \in \Omega, \\
u(x) = 0, x \in {\partial \Omega},
\end{array}\right.
\]
with \(0\lt a(x) \le \beta\). Some summability properties of solutions are given.
Keywords
Elliptic equation, degenerate coercivity, weak solution, entropy solution.
Hrčak ID:
332479
URI
Publication date:
15.8.2026.
Visits: 509 *