一类含非Ambrosetti-Rabinowitz型非线性项的拟线性Schrödinger方程基态解的存在性OA
Existence of ground state solutions for a class of quasilinear Schrödinger equations with Non-Ambrosetti-Rabinowitz type nonlinearities
应用Nehari流形方法,研究RN上一类含非Ambrosetti-Rabinowitzxin型非线性项的拟线性Schrödinger 方程,先证明其有界区域上对应的约束极小变分问题可达,再利用这些达到元作为全空间问题的极小化序列证明了方程存在正的基态解.
A class of quasilinear Schrödinger equations with Non-Ambrosetti-Rabinowitz type nonlinearities is studied via the Nehari manifold method.The attainability of the minimizer for the corresponding constrained minimization variational problem in a bounded domain is established.By employing the minimizers from bounded domain problems as a minimizing sequence,the existence of a positive ground-state solution to the equation is proved.
王得巧;李红珍;胡亭曦
重庆师范大学 数学科学学院,重庆 401331重庆师范大学 数学科学学院,重庆 401331重庆师范大学 数学科学学院,重庆 401331
数理科学
拟线性Schrödinger方程非Ambrosetti-Rabinowitz型Nehari流形基态解
quasilinear Schrödinger equationNon-Ambrosetti-Rabinowitz typeNehari manifoldground state solution
《高师理科学刊》 2026 (5)
1-6,6
重庆市教委科学技术研究项目(KJQN202200515)
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