Non-radial solutions to a bi-harmonic equation with negative exponent
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Publication:2334527
DOI10.1007/s00526-019-1647-4zbMath1435.35178arXiv1905.11491OpenAlexW2982462066WikidataQ114229053 ScholiaQ114229053MaRDI QIDQ2334527
Publication date: 7 November 2019
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.11491
Boundary behavior of power series in one complex variable; over-convergence (30B30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents, Solutions of Liouville equations with non-trivial profile in dimensions 2 and 4, Reverse conformally invariant Sobolev inequalities on the sphere
Cites Work
- Unnamed Item
- Unnamed Item
- Conformal metrics on \(\mathbb{R}^{2m}\) with constant \(Q\)-curvature, prescribed volume and asymptotic behavior
- A new proof of I. Guerra's results concerning nonlinear biharmonic equations with negative exponents
- Conformally Euclidean metrics on \(\mathbb{R}^n\) with arbitrary total Q-curvature
- Exact solutions of nonlinear conformally invariant integral equations in \(\mathbf R^3\)
- A note on nonlinear biharmonic equations with negative exponents
- Classification of solutions to the higher order Liouville's equation on \({\mathbb{R}^{2m}}\)
- Nonradial solutions for a conformally invariant fourth order equation in \(\mathbb {R}^4\)
- Group representations arising from Lorentz conformal geometry
- Classification of solutions of some nonlinear elliptic equations
- Classification of solutions of higher order conformally invariant equations
- A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
- A note on positive radial solutions of \(\Delta^2u+u^{-q}=0\) in \(\mathbf{R}^3\) with exactly quadratic growth at infinity.
- A note on a class of higher order conformally covariant equations
- Nonlinear biharmonic equations with negative exponents
- Conformal metrics on \(\mathbb R^{2m}\) with constant \(Q\)-curvature and large volume
- Entire solutions of an integral equation in \(R^5\)
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Classification of entire solutions of $(-\Delta )^N u + u^{-(4N-1)}= 0$ with exact linear growth at infinity in $\mathbf {R}^{2N-1}$
- On the Paneitz energy on standard three sphere
