论文信息 - The existence of nontrivial solution to a class of nonlinear Kirchhoff equations without any growth and Ambrosetti-Rabinowitz conditions

The existence of nontrivial solution to a class of nonlinear Kirchhoff equations without any growth and Ambrosetti-Rabinowitz conditions

Abstract The Kirchhoff equations without any growth and Ambrosetti–Rabinowitz conditions are considered in this paper. By using the cutoff function, we get the existence of nontrivial solutions to revised equation. Then we use the Moser iteration to obtain the existence of nontrivial solution to original Kirchhoff equations. The nonlinearity may be supercritical.

Yuhua Li | Qian Geng | Yuhua Li | Qian Geng

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