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2 results on '"Shixia Luan"'

1. A Kirchhoff-type problem involving concave-convex nonlinearities

Author

Yuan Gao, Lishan Liu, Shixia Luan, and Yonghong Wu

Subjects
Concave-convex nonlinearities, Kirchhoff-type problem, Nehari manifolds, Ground state sign-changing solutions, Mathematics, QA1-939
Abstract

Abstract A Kirchhoff-type problem with concave-convex nonlinearities is studied. By constrained variational methods on a Nehari manifold, we prove that this problem has a sign-changing solution with least energy. Moreover, we show that the energy level of this sign-changing solution is strictly larger than the double energy level of the ground state solution.

Published
2021
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2. A Kirchhoff-type problem involving concave-convex nonlinearities

Author

Shixia Luan, Yonghong Wu, Lishan Liu, and Yuan Gao

Subjects
Concave-convex nonlinearities, Algebra and Number Theory, Partial differential equation, Nehari manifolds, Kirchhoff type, lcsh:Mathematics, Applied Mathematics, 010102 general mathematics, Mathematical analysis, Regular polygon, lcsh:QA1-939, 01 natural sciences, 010101 applied mathematics, Ordinary differential equation, Kirchhoff-type problem, Ground state sign-changing solutions, 0101 mathematics, Nehari manifold, Ground state, Analysis, Energy (signal processing), Mathematics
Abstract

A Kirchhoff-type problem with concave-convex nonlinearities is studied. By constrained variational methods on a Nehari manifold, we prove that this problem has a sign-changing solution with least energy. Moreover, we show that the energy level of this sign-changing solution is strictly larger than the double energy level of the ground state solution.

Published
2021
Full Text
View/download PDF

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