On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension

DOI10.1007/s00526-020-01891-6zbMath1459.35156arXiv2006.05934OpenAlexW3125801784WikidataQ114229025 ScholiaQ114229025MaRDI QIDQ2225904

Yanyan Li

Publication date: 11 February 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05934

zbMATH Keywords

critical exponentNehari manifoldBrezis-Nirenberg problemKirchhoff-type equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20)

Related Items (14)

Fractional Kirchhoff-Choquard equations involving upper critical exponent and general nonlinearity ⋮ Existence and multiplicity of positive solutions to a \(p\)-Kirchhoff-type equation ⋮ Non-compact perturbations of coercive functionals and applications ⋮ Existence and uniqueness of solution to a fourth-order Kirchhoff type elliptic equation with strong singularity ⋮ Infinitely many solutions for indefinite Kirchhoff equations and Schrödinger-Poisson systems ⋮ A perturbed fractional p-Kirchhoff problem with critical nonlinearity ⋮ Normalized solutions for Kirchhoff type equations with combined nonlinearities: the Sobolev critical case ⋮ Superlinear fractional elliptic problems via the nonlinear Rayleigh quotient with two parameters ⋮ Normalized ground states for Kirchhoff type equations with general nonlinearities ⋮ Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds ⋮ Unnamed Item ⋮ On critical Kirchhoff problems driven by the fractional Laplacian ⋮ Rayleigh quotients of the level set manifolds related to the nonlinear PDE ⋮ Unnamed Item

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