On existence of positive solutions of p -Laplace equations

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Abstract

AbstractIn this paper, we consider the existence of positive solutions of an equation with p-Laplacianwhere n ≥ 3, 1 0, Δp u = div (|∇u|p−2∇u), and K (x) is a double bounded function. We will prove the following results. When 0 0 in Rn \ 0, n ≥ 3, 1 0, and K1 (x), K2 (x) are double bounded functions. Mathematics Subject Classification (2020): 35J9235A0135B09Key words: p-Laplace equationexistence/nonexistenceWolff potential

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Cite This Study

Tiantian Zhou (Mon,) studied this question.

synapsesocial.com/papers/68e7285cb6db6435876a2159 https://doi.org/https://doi.org/10.2989/16073606.2024.2330016

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