Operators generated by wavelets and their boundedness from Hp(Rn) into Lp(Rn)
We study the boundedness from Hp(Rn) into Lp(Rn) of certain operators generated by wavelets and Borel measures.
math.CA↗
arXiv subjects
Iván Medri
Publications and source records attributed to Iván Medri.
One-dimensional singular problems involving the p-Laplacian and nonlinearities indefinite in sign
Let $Ω$ be a bounded open interval, let $p>1$ and $γ>0$, and let $m:Ω\rightarrow\mathbb{R}$ be a function that may change sign in $Ω$. In this article we study the existence and nonexistence of positive solutions for one-dimensional singular problems of the form $-(\left\vert u^{\prime}\right\vert ^{p-2}u^{\prime})^{\prime}=m\left( x\right) u^{-γ}$ in $Ω$, $u=0$ on $\partialΩ$. As a consequence we also derive existence results for other related nonlinearities.
math.CA↗