A singular Liouville equation on two-dimensional domains
DOI10.1007/s10231-023-01326-xzbMath1522.35275OpenAlexW4360827074MaRDI QIDQ6046911
Marcelo Montenegro, Matheus F. Stapenhorst
Publication date: 6 September 2023
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-023-01326-x
existencevariational methodsDirichlet conditionsingular nonlinearitysemilinear equation with Laplacian
Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular elliptic equations (35J75) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A class of elliptic equations with singular and critical nonlinearities
- Existence of solution for a general class of elliptic equations with exponential growth
- Concentration for an elliptic equation with singular nonlinearity
- Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
- The Liouville-Bratu-Gelfand problem for radial operators
- Two solutions for a singular elliptic problem indefinite in sign
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Positive versus free boundary solutions to a singular elliptic equation
- Combined effects of concave and convex nonlinearities in some elliptic problems
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Quasilinear elliptic equations with critical exponents
- A Moser-Trudinger inequality on the boundary of a compact Riemann surface
- Corrigendum: Elliptic equations in \(\mathbb{R}^ 2\) with nonlinearities in the critical growth range
- Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility
- A log-exp elliptic equation in the plane
- A singular problem with nonlinearities of exponential growth
- Singular equation with positive solution based on the perturbation of domains method
- Dual variational methods in critical point theory and applications
- On Gaussian curvature equation in \(\mathbb{R}^2\) with prescribed nonpositive curvature
- Positive solutions for nonlinear singular superlinear elliptic equations
- Two solutions for an elliptic problem with two singular terms
- Quasilinear Dirichlet problems driven by positive sources
- Two solutions for a singular elliptic equation by variational methods
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- The Free Boundary of a Semilinear Elliptic Equation
- An elliptic equation with singular nonlinearity
- Elliptic Partial Differential Equations of Second Order
- On a singular nonlinear semilinear elliptic problem
- The inequality of Moser and Trudinger and applications to conformal geometry
- ELLIPTIC EQUATIONS IN ℝ2 WITH ONE-SIDED EXPONENTIAL GROWTH
- The conformal plate buckling equation
- Free boundary solutions to a log-singular elliptic equation
- Well-posedness and long-time behaviour for a singular phase field system of conserved type
This page was built for publication: A singular Liouville equation on two-dimensional domains