涉及梯度的博弈论p-拉普拉斯算子

IF 0.9 4区数学 Q1 Mathematics

Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI:10.18514/mmn.2022.3467

A. Razani

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引用次数: 3

摘要

博弈论的p-拉普拉斯算子是经典变分p-拉普拉斯算子的一个版本，它与随机的有噪声的拔河博弈有关。证明了含梯度的博弈论p-拉普拉斯算子在Rn中单位球的小C2扰动下正奇异解和Holder连续解的存在性。最后，介绍了一个更具体的问题。

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Game-theoretic p-Laplace operator involving the gradient

The game-theoretic p-Laplacian operator is a version of classical variational p-Laplacian which is in connection with stochastic games called Tug-of-War with noise. The existence of positive singular and Holder continuous solutions of the game-theoretic p-Laplace operator involving the gradient in a small C2 perturbation of the unit ball in Rn are proved. Finally, a more case problem is introduced.

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来源期刊

Miskolc Mathematical Notes Mathematics-Algebra and Number Theory

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.