| Autor: |
Youssfi, Ahmed, Azroul, Elhoussine, Hjiaj, Hassan |
| Zdroj: |
Monatshefte für Mathematik; Jan2014, Vol. 173 Issue 1, p107-129, 23p |
| Abstrakt: |
We consider a class of nonlinear elliptic equations involving the Hardy potential and lower order terms whose simplest model is in a bounded open $$\varOmega $$ of $$\mathbf{R }^{N}, N\ge 3,$$ containing the origin, $$s>\frac{N}{N-2}, \nu $$ and $$\lambda $$ are positive real numbers. We prove that the presence of the term $$\nu |u|^{s-1}u$$ has an effect on the existence of solutions when $$f\in L^{1}(\varOmega )$$ assuming only that $$b\in L^{1}(\mathbf{R })$$ without any sign condition (i.e. $$b(s)s\ge 0$$ ). [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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