A critical concave-convex Kirchhoff-type equation in \(\mathbb{R}^4\) Involving potentials which may vanish at infinity

DOI10.1007/s00023-021-01105-5zbMath1481.35207OpenAlexW3197879090WikidataQ114232018 ScholiaQ114232018MaRDI QIDQ2068365

Marcelo C. Ferreira, Pedro Ubilla

Publication date: 19 January 2022

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-021-01105-5

zbMATH Keywords

existenceKirchhoff-type equationcritical and concave-convex nonlinearity

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (3)

Multiple positive solutions and estimates of extremal values for a nonlocal problem with critical Sobolev exponent and concave-convex nonlinearities ⋮ Infinitely many solutions for indefinite Kirchhoff equations and Schrödinger-Poisson systems ⋮ The third solution for a Kirchhoff-type problem with a critical exponent

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