Existence results for a fourth order partial differential equation arising in condensed matter physics

DOI10.21136/mb.2015.144457zbMath1363.35080arXiv1503.06732OpenAlexW2963810167WikidataQ115232526 ScholiaQ115232526MaRDI QIDQ3466161

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Publication date: 1 February 2016

Full work available at URL: https://arxiv.org/abs/1503.06732

zbMATH Keywords

variational methodexistence of solutionblow-up in finite timehigher order elliptic equationhigher order parabolic equationstrongly singular boundary value problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Nonlinear higher-order PDEs (35G20) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Higher-order parabolic equations (35K25) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (7)

Behaviour in time of solutions to a class of fourth order evolution equations ⋮ Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\) ⋮ Biharmonic elliptic problems with second Hessian and gradient nonlinearities ⋮ Explicit blowing up solutions for a higher order parabolic equation with Hessian nonlinearity ⋮ On polyharmonic regularizations of \(k\)-Hessian equations: variational methods ⋮ Behavior of solutions to a fourth-order nonlinear parabolic equation with logarithmic nonlinearity ⋮ Existence of radial solutions to biharmonic \(k\)-Hessian equations

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