Autor:	Ziqing Yuan, Sheng Liu
Předmět:	BIHARMONIC equations MATHEMATICS PARTIAL differential equations MULTIPLICITY (Mathematics) PERTURBATION theory
Zdroj:	Journal of Nonlinear Modeling & Analysis; Mar2024, Vol. 6 Issue 1, p71-87, 17p
Abstrakt:	We consider the biharmonic equation Δ²u-(a + b R R5 \|Δu\|²dx) Δu + V (x)u = f(u), where V (x) and f(u) are continuous functions. By using a perturbation approach and the symmetric mountain pass theorem, the existence and multiplicity of solutions for this equation are obtained, and the power-type case f(u) = \|u\|p-2u is extended to p (2, 10), where it was assumed p (4, 10) in many papers. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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