The Liouville equation in an annulus
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Publication:412670
DOI10.1016/J.NA.2011.10.009zbMath1242.35113OpenAlexW2149597717WikidataQ125880837 ScholiaQ125880837MaRDI QIDQ412670
Publication date: 4 May 2012
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.10.009
Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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Cites Work
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- The geometric Neumann problem for the Liouville equation
- Metrics of constant curvature on a Riemann surface with two corners on the boundary
- The Liouville equation in a half-plane
- Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
- Classification of solutions of some nonlinear elliptic equations
- Asymptotic radial symmetry for solutions of \(\Delta u+e^ u=0\) in a punctured disc
- Classification of conformal metrics on \(\mathbb R^2_+\) with constant Gauss curvature and geodesic curvature on the boundary under various integral finiteness assumptions
- Liouville's formula in arbitrary planar domains
- A new approach to some nonlinear geometric equations in dimension two
- A uniqueness theorem for harmonic functions on the upper-half plane
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