论文标题

在各向异性双相问题上,具有单数和符号改变非线性的问题

On an anisotropic double phase problem with singular and sign changing nonlinearity

论文作者

Garain, Prashanta, Mukherjee, Tuhina

论文摘要

本文包括研究各向异性双期问题,具有单数项和符号改变亚临界和临界非线性。在寻求众所周知的Nehari歧管技术的帮助下,我们在亚临界情况下建立了至少两个相反的符号能量解决方案,在关键情况下建立了一种负能量解决方案。在经典$ p $ -laplacian案件中,关键案例中的结果甚至是新的。

This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well known Nehari manifold technique, we establish existence of at least two opposite sign energy solutions in the subcritical case and one negative energy solution in the critical case. The results in the critical case is even new in the classical $p$-Laplacian case.

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