Ground state solution for a fourth-order elliptic equation with logarithmic nonlinearity modeling epitaxial growth
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Publication:2203244
DOI10.1016/j.camwa.2019.03.025zbMath1442.35109OpenAlexW2929847935WikidataQ128107600 ScholiaQ128107600MaRDI QIDQ2203244
Publication date: 5 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.03.025
Boundary value problems for higher-order elliptic equations (35J40) Statistical mechanics of crystals (82D25) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Quasilinear parabolic equations (35K59)
Related Items (11)
Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity ⋮ A nonsmooth theory for a logarithmic elliptic equation with singular nonlinearity ⋮ Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity ⋮ Extinction and non-extinction of solutions to a fast diffusion \(p\)-Laplace equation with logarithmic non-linearity ⋮ Well‐posedness of solutions for a class of quasilinear wave equations with strong damping and logarithmic nonlinearity ⋮ Global existence and blow-up for a Kirchhoff-type hyperbolic problem with logarithmic nonlinearity ⋮ Infinite time blow-up of solutions to a fourth-order nonlinear parabolic equation with logarithmic nonlinearity modeling epitaxial growth ⋮ Asymptotic behavior for a fourth-order parabolic equation involving the Hessian ⋮ Global existence and blow-up for a parabolic problem of Kirchhoff type with logarithmic nonlinearity ⋮ Behavior of solutions to a fourth-order nonlinear parabolic equation with logarithmic nonlinearity ⋮ Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source
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