具有退化矫顽力和二次梯度项的Dirichlet问题的无界解

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2025-09-01 DOI:10.1007/s00013-025-02151-9

Lucio Boccardo, Andrea Dall’Aglio

引用次数: 0

摘要

给出了具有退化矫顽力且一阶项对梯度有二次增长的椭圆方程Dirichlet问题弱（可能无界）解的存在性结果。证明是基于使用具有指数增长的测试函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Unbounded solutions for Dirichlet problems with degenerate coercivity and a quadratic gradient term

We give existence results for weak (possibly unbounded) solutions of Dirichlet problems for elliptic equations having degenerate coercivity and a first order term which has quadratic growth with respect to the gradient. The proof is based on the use of test functions having exponential growth.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.