Naslov
Generating singularities of quasilinear elliptic equations

Autori
Žubrinić, Darko

Izvornik
Journal of mathematical analysis and applications (0022-247X) 244 (2000), 1; 10-16

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
quasilinear elliptic; p-Laplacian; singularity

Sažetak
Let $1<p<N$. If the right-hand side of a quasilinear p-Laplace equation has singularity of order $\gamma\in(p, 1+N/p')$ at a point $x_0\in\Omega$, then each supersolution which is essentially bounded from below on a neighborhood of $x_0$, has singularity of order $\frac{;\gamma-p};{;p-1};$ at $x_0$. Moreover, we obtain an explicit and sharp lower bound on the supersolution in the neighborhood of $x_0$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA