Publikationsdatum:
2013-10-03
Beschreibung:
We study the following elliptic equations with variable exponents\begin{equation*}-\text{div}(\phi(x,|\nabla u|)\nabla u)=\lambda f(x,u)\quad \textmd{in }\quad \Bbb R^{N}.\end{equation*}Under suitable conditions on $\phi$ and $f$, we show theexistence of positivity of the infimum of all eigenvalues for theabove problem and then give some example to demonstrate our main result.
Print ISSN:
1687-2762
Digitale ISSN:
1687-2770
Thema:
Mathematik
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