Blow-up solutions for a Kirchhoff type elliptic equation with trapping potential

DOI10.3934/cpaa.2018089zbMath1398.35055arXiv1707.02445OpenAlexW2963910646WikidataQ129846481 ScholiaQ129846481MaRDI QIDQ1660028

Yimin Zhang, Helin Guo, Huan-Song Zhou

Publication date: 23 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02445

zbMATH Keywords

blow-upKirchhoff-type equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44)

Related Items (21)

Existence of ground state for fractional Kirchhoff equation with \(L^2\) critical exponents ⋮ Normalized solutions of the autonomous Kirchhoff equation with Sobolev critical exponent: Sub- and super-critical cases ⋮ Global existence and finite time blow-up for a class of fractional \(p\)-Laplacian Kirchhoff type equations with logarithmic nonlinearity ⋮ The existence and multiplicity of the normalized solutions for fractional Schrödinger equations involving Sobolev critical exponent in the \(L^2\)-subcritical and \(L^2\)-supercritical cases ⋮ Concentration and local uniqueness of minimizers for mass critical degenerate Kirchhoff energy functional ⋮ Blow-up behavior of \(L^2\)-norm solutions for Kirchhoff equation in a bounded domain ⋮ The existence and asymptotic behavior of normalized solutions for Kirchhoff equation with singular potential ⋮ Sign-changing solutions for quasilinear elliptic equation with critical exponential growth ⋮ On the Kirchhoff equation with prescribed mass and general nonlinearities ⋮ Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation ⋮ Normalized ground states for the mass-energy doubly critical Kirchhoff equations ⋮ Normalized solutions to the mass supercritical Kirchhoff-type equation with non-trapping potential ⋮ Properties of minimizers for the fractional Kirchhoff energy functional ⋮ Normalized solutions to the Kirchhoff equation with potential term: mass super-critical case ⋮ Existence and blow up behavior of positive normalized solution to the Kirchhoff equation with general nonlinearities: mass super-critical case ⋮ Unnamed Item ⋮ Blow-up profile of pseudo-relativistic Hartree equations with singular potentials ⋮ Constraint minimizers of Kirchhoff-Schrödinger energy functionals with \(L^2\)-subcritical perturbation ⋮ Sign-changing solutions to a \(N\)-Kirchhoff equation with critical exponential growth in \(\mathbb{R}^N\) ⋮ Existence and asymptotic behavior of minimizers for the Kirchhoff functional with periodic potentials ⋮ Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation

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