包含消失势和临界指数的退化广义拟线性Schrödinger方程的解

Pub Date : 2023-07-17 DOI:10.12775/tmna.2022.045

Yong Huang, Zhouxin Li, X. Yuan

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引用次数: 0

摘要

本文研究了一类具有消失势和临界Sobolev指数的退化拟线性Schrödinger方程。这些方程中涉及的主要算子不是严格的椭圆算子。在适当的条件下，利用变分方法得到了方程非平凡解的存在性，并建立了解的衰减率。

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Solutions to degenerative generalized quasilinear Schrödinger equations involving vanishing potentials and critical exponent

In this paper, a class of degenerative quasilinear Schrödinger equations with vanishing potentials and critical Sobolev exponents is considered. The main operator involved in these equations is not strictly elliptic. Under suitable conditions, the existence of nontrivial solutions to the equations is obtained by employing variational methods and the decay rate of the solutions is established.

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