KIRCHHOFF TYPE PROBLEMS INVOLVING <i>P</i>-BIHARMONIC OPERATORS AND CRITICAL EXPONENTS

DOI10.11948/2017041zbMath1474.47050OpenAlexW2626783295MaRDI QIDQ5149596

Pham Hong Minh, Nguyen Thanh Chung

Publication date: 11 February 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2017041

zbMATH Keywords

mountain pass theoremcritical exponentsKirchhoff type problems\(p\)-biharmonic operators

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) General spectral theory of ordinary differential operators (34L05) Eigenvalue problems for linear operators (47A75) Nonlinear ordinary differential operators (34L30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (7)

Multiple Solutions to p-Biharmonic Equations of Kirchhoff Type with Vanishing Potential ⋮ Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities ⋮ Unnamed Item ⋮ ON A CLASS OF NONCOOPERATIVE FOURTH-ORDER ELLIPTIC SYSTEMS WITH NONLOCAL TERMS AND CRITICAL GROWTH ⋮ On a class of critical \(p\)-biharmonic Kirchhoff type problems with indefinite weights ⋮ Multiple solutions for a non-cooperative elliptic system of Kirchhoff type involving \(p\)-biharmonic operator and critical growth ⋮ Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian

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