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- W4301715010 abstract "We consider the forced problem $-Delta_p u - V(x)|u|^{p-2} u = f(x)$, where $Delta_p$ is the $p$-Laplacian ($1<p<infty$) in a domain $Omegasubset mathbb{R}^N$, $Vge 0$ and $Q_V (u) := int_Omega |nabla u|^p, dx - int_Omega V|u|^p,dx$ satisfies the condition (A) stated at the beginning of the paper. We show that this problem has a solution for all $f$ in a suitable space of distributions. Then we apply this result to some classes of functions $V$ which in particular include the Hardy potential and the potential $V(x)=lambda_{1,p}(Omega)$, where $lambda_{1,p}(Omega)$ is the Poincar'e constant on an infinite strip." @default.
- W4301715010 created "2022-10-05" @default.
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- W4301715010 date "2017-09-15" @default.
- W4301715010 modified "2023-09-29" @default.
- W4301715010 title "On some weakly coercive quasilinear problems with forcing" @default.
- W4301715010 doi "https://doi.org/10.48550/arxiv.1709.05187" @default.
- W4301715010 hasPublicationYear "2017" @default.
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