Multiple Blow-Up Solutions for the Liouville Equation with Singular Data
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Publication:2855216
DOI10.1080/03605302.2013.799487zbMath1276.35040arXiv1210.6270OpenAlexW2093427068MaRDI QIDQ2855216
Publication date: 24 October 2013
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.6270
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44)
Related Items (13)
Prescribed Gauss curvature problem on singular surfaces ⋮ Bubbling solutions for the Liouville equation around a quantized singularity in symmetric domains ⋮ Bubbling solutions for the Liouville equation with a singular source: non-simple blow-up ⋮ Equilibria of vortex type Hamiltonians on closed surfaces ⋮ A unified approach of blow-up phenomena for two-dimensional singular Liouville systems ⋮ Blow-up phenomena for the Liouville equation with a singular source of integer multiplicity ⋮ Construction solutions for Neumann problem with Hénon term in \( \mathbb{R}^2 \) ⋮ Asymptotic profile of positive solutions of Lane-Emden problems in dimension two ⋮ Singular mean field equations on compact Riemann surfaces ⋮ Construction of nodal bubbling solutions for the weighted sinh-Poisson equation ⋮ A monotonicity result under symmetry and Morse index constraints in the plane ⋮ Multiple blow-up solutions for an exponential nonlinearity with potential in \(\mathbb{R}^2\) ⋮ Bubbling solutions for a planar exponential nonlinear elliptic equation with a singular source
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