Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent
From MaRDI portal
Publication:1630544
DOI10.2140/apde.2019.12.1101zbMath1421.35150arXiv1711.00776OpenAlexW2766979775WikidataQ129076542 ScholiaQ129076542MaRDI QIDQ1630544
Publication date: 10 December 2018
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.00776
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (23)
Ground state solution to the biharmonic equation ⋮ Qualitative properties for solutions to subcritical fourth order systems* ⋮ On Delaunay solutions of a biharmonic elliptic equation with critical exponent ⋮ Classification to the positive radial solutions with weighted biharmonic equation ⋮ Complete metrics with constant fractional higher order \(Q\)-curvature on the punctured sphere ⋮ Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity ⋮ Qualitative properties for solutions to conformally invariant fourth order critical systems ⋮ Singular metrics of constant negative \(Q\)-curvature in Euclidean spaces ⋮ Local estimates for conformal \(Q\)-curvature equations ⋮ Unnamed Item ⋮ Local behavior of positive solutions to a nonlinear biharmonic equation near isolated singularities ⋮ Liouville type results for semilinear biharmonic problems in exterior domains ⋮ Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities ⋮ Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity ⋮ Ground state solution of the thin film epitaxy equation ⋮ An approximate solution for a nonlinear biharmonic equation with discrete random data ⋮ Local behavior of positive solutions of higher order conformally invariant equations with a singular set ⋮ Sharp decay estimates for critical Dirac equations ⋮ Bôcher-type results for the fourth and higher order equations on singular manifolds with conical metrics ⋮ Classification of positive radial solutions to a weighted biharmonic equation ⋮ Asymptotic behavior of positive solutions to a nonlinear biharmonic equation near isolated singularities ⋮ Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations ⋮ Constant 𝑄-curvature metrics with a singularity
Cites Work
- Singular radial entire solutions and weak solutions with prescribed singular set for a biharmonic equation
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Classification of solutions to the higher order Liouville's equation on \({\mathbb{R}^{2m}}\)
- Refined asymptotics for constant scalar curvature metrics with isolated singularities
- Classification of solutions of higher order conformally invariant equations
- On uniqueness of solutions of \(n\)-th order differential equations in conformal geometry
- A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
- Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system
- Constant scalar curvature metrics with isolated singularities
- The phase-plane picture for a class of fourth-order conservative differential equations
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
- Homoclinic orbits in the dynamic phase-space analogy of an elastic strut
- Regularity of a Fourth Order Nonlinear PDE with Critical Exponent
- Construction of dipole type singular solutions for a biharmonic equation with critical Sobolev exponent
- Regularity of weak solutions to critical exponent variational equations
This page was built for publication: Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent