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- W2243386216 abstract "We study positive $C^1(bar{Omega})$ solutions to classes of boundary value problems of the form begin{eqnarray*} -Delta_{p} u & = & g(lambda,u)mbox{ in } Omega u & = & 0 mbox{ on } partial Omega, end{eqnarray*} where $ Delta_{p} $ denotes the p-Laplacian operator defined by $$ Delta_{p} z:= mbox{div}(|nabla z|^{p-2}nabla z);, p > 1, $$ where $ lambda > 0$ is a parameter and $ Omega $ is a bounded domain in $ R^{N} $; $ N geq 2 $ with $partial Omega$ of class $ C^{2}$ and connected. (If $N=1$, we assume that $Omega$ is a bounded open interval.) In particular, we establish existence and multiplicity results for classes of nondecreasing, p-sublinear functions $g(lambda,cdot)$ belonging to $C^1([0,infty))$. Our results also extend to classes of p-Laplacian systems. Our proofs are based on comparison methods." @default.
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- W2243386216 date "2003-01-01" @default.
- W2243386216 modified "2023-10-14" @default.
- W2243386216 title "Positive solutions for classes of $p$-Laplacian equations" @default.
- W2243386216 doi "https://doi.org/10.57262/die/1356060611" @default.
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