Izvorni znanstveni članak

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

Preuzmi JATS datoteku

Sažetak

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.

Ključne riječi

Elliptic equation, degenerate coercivity, weak solution, entropy solution.

Hrčak ID:

332479

URI

https://hrcak.srce.hr/332479

Datum izdavanja:

10.3.2026.

Posjeta: 273 *