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The Existence of Solutions for Kirchhoff-Type Equations with General Singular Terms

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We study the existence of solutions for Kirchhoff-type equations.Firstly,we use the Sobolev inequality and the weakly lower semi-continuity of the norm to prove that the corresponding function can reach the global minimum.Then,we use the variational method and some analytical techniques to obtain the existence of the positive solution of the equation when λ is small enough.

Kirchhoff-type equationThe existencePositive solutionVariational method

WANG Ji-nan、SUN Da-wei

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Department of Mathematics,Henan University of Technology,Zhengzhou 450001,China

2024

数学季刊(英文版)
河南大学

数学季刊(英文版)

影响因子:0.201
ISSN:1002-0462
年,卷(期):2024.39(3)