Uniqueness of large positive solutions
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Publication:1684435
DOI10.1007/s00033-017-0829-1zbMath1381.35046OpenAlexW2735763528MaRDI QIDQ1684435
Luis Maire, Julián López-Gómez
Publication date: 8 December 2017
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-017-0829-1
Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09)
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Cites Work
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- Asymptotic behavior of boundary blow-up solutions to elliptic equations
- Asymptotics for singular solutions of quasilinear elliptic equations with an absorption term
- Entire large solutions for semilinear elliptic equations
- Uniqueness of large solutions
- Blow-up rates of large solutions for semilinear elliptic equations
- Boundary behavior of solutions for the degenerate logistic type elliptic problem with boundary blow-up
- The exact blow-up rates of large solutions for semilinear elliptic equations
- On the inequality \(\Delta u \geqq f (u)\)
- Existence, uniqueness and blow-up rate of large solutions for a canonical class of one-dimensional problems on the half-line
- Blow-up rates of large solutions for elliptic equations
- Blow-up rates of radially symmetric large solutions
- Uniqueness and blow-up rate of large solutions for elliptic equation \(-\Delta u=\lambda u - b(x)h(u)\)
- Remarks on large solutions of a class of semilinear elliptic equations
- Uniqueness of radially symmetric large solutions
- Uniqueness of positive solutions for a boundary blow-up problem
- A theorem on elliptic differential inequalities with an application to gradient bounds
- Semilinear elliptic equations with uniform blow-up on the boundary
- `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
- Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
- The boundary blow-up rate of large solutions.
- Existence and uniqueness results for large solutions of general nonlinear elliptic equations
- The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
- Large solutions of elliptic semilinear equations in the borderline case. an exhaustive and intrinsic point of view
- The exact boundary blow-up rate of large solutions for semilinear elliptic problems
- The uniqueness of blow-up solution for radially symmetric semilinear elliptic equation
- Optimal uniqueness theorems and exact blow-up rates of large solutions
- General uniqueness results and blow-up rates for large solutions of elliptic equations
- Metasolutions of Parabolic Equations in Population Dynamics
- EXISTENCE AND UNIQUENESS OF BLOW-UP SOLUTIONS FOR A CLASS OF LOGISTIC EQUATIONS
- On solutions of δu=f(u)
- Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary
- Linear Second Order Elliptic Operators
- Back to the Keller-Osserman Condition for Boundary Blow-up Solutions