Ground state solutions for p-biharmonic equations
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In this article we study the p-biharmonic equation
∆2pu + V(x)|u|p-2u = ƒ(x, u), x ∈ ℝN,
where ∆2pu = ∆(|∆u|p-2 ∆u) is the p-biharmonic operator. When V(x) and ƒ(x, u) satisfy some conditions, we prove that the above equations have Nehari-type ground state solutions.
CitationLiu, X., Chen, H., & Almuaalemi, B. (2017). Ground state solutions for p-biharmonic equations. Electronic Journal of Differential Equations, 2017(45), pp. 1-9.
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