The Regularizing Effect of Lower Order Terms in Elliptic Problems Involving Hardy Potential

Abstract

We study existence and summability of solutions for elliptic problems with a power-like lower order term and a Hardy potential.We prove that, due to the presence of the lower order term, solutions exist and are more summable under weaker assumptions than those needed for the existence without it.

Keywords

• hardy potential
• lower order terms
• regularizing effect
• 35j25
• 35b65