Some results on strongly nonlinear anisotropic differential equations

• Autorzy: L. Bougoffa , A. El Khalil , S. El Manouni
• Języki publikacji: EN

Abstrakty

EN

The paper concerns the existence of weak solutions to nonlinear elliptic equations of the form A(u) + g(x,u,∇u) = f, where A is an operator from an appropriate anisotropic function space to its dual and the right hand side term is in $L^{1+m}$ with 0 < m < 1. We assume a sign condition on the nonlinear term g, but no growth restrictions on u.

Kategorie tematyczne

• 35J70: Degenerate elliptic equations
• 35J60: Nonlinear elliptic equations
• 35J25: Boundary value problems for second-order elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2010
• Tom: 37
• Numer: 3
• Strony: 375-386

Daty

wydano

2010

Twórcy

autor

L. Bougoffa

• Department of Mathematics, Faculty of Sciences, Al-Imam University, P.O. Box 90950, Riyadh 11623, Saudi Arabia

autor

A. El Khalil

• Department of Mathematics, Faculty of Sciences, Al-Imam University, P.O. Box 90950, Riyadh 11623, Saudi Arabia

autor

S. El Manouni

• Department of Mathematics, Faculty of Sciences, Al-Imam University, P.O. Box 90950, Riyadh 11623, Saudi Arabia

Identyfikatory

DOI

10.4064/am37-3-7