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非齐次Klein-Gordon方程和Born-Infeld理论耦合系统解的多重性OA

Multiplicity of Solutions for Nonhomogeneous Klein-Gordon Equation Coupled with Born-Infeld Theory

中文摘要英文摘要

研究了一类非齐次Klein-Gordon方程和Born-Infeld理论耦合系统,在非线性项是特殊非线性项的条件下,利用变分法和临界点理论给出了系统解的多重性结论.本文结论完善了此系统解研究的已有结果.

In this article,we intend to consider a kind of nonhomogeneous Klein-Gordon equation coupled with Born-Infeld theory.Assuming the nonlinearity is pure power type nonlinearity,we prove the multiplicity of solutions for this kind of system by applying variational methods and the critical point theory.Some recent results from the literature are improved and extended.

段誉;孙歆

贵州工程应用技术学院理学院,贵州毕节 551700贵州工程应用技术学院理学院,贵州毕节 551700

数理科学

Klein-Gordon方程Born-Infeld理论变分法临界点理论

Klein-Gordon equationBorn-Infeld theoryVariational methodCritical point theory

《应用数学》 2026 (3)

792-798,7

贵州省基础研究计划面上项目(黔科合基础MS[2026]230)毕节市科学技术项目(毕科联合[2025]138)

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