Nonhomogeneous elliptic Kirchhoff equations of the \(p\)-Laplacian type

DOI10.1007/S11253-020-01776-ZzbMath1448.35256OpenAlexW3025309454MaRDI QIDQ2203099

Yanyan Li

Publication date: 1 October 2020

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-020-01776-z

zbMATH Keywords

critical Sobolev exponent\(p\)-Kirchhoff equationexistence and multiplicity of solutions

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

Existence of solutions for $p$-Kirchhoff problem of Brézis-Nirenberg type with singular terms

Cites Work

• Nontrivial solutions of Kirchhoff type problems
• Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
• Best constant in Sobolev inequality
• On the variational principle
• Multiple solutions for the nonhomogeneous Kirchhoff equation on \(\mathbb R^N\)
• On a quasilinear Schrödinger-Kirchhoff-type equation with radial potentials
• Dual variational methods in critical point theory and applications
• Multiple solutions to the nonhomogeneous \(p\)-Kirchhoff elliptic equation with concave-convex nonlinearities
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On an elliptic equation of p-Kirchhoff type via variational methods

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