Nonexistence results for a semilinear heat equation with bounded potentials
From MaRDI portal
Publication:1985793
DOI10.1016/j.na.2019.111667zbMath1439.35306OpenAlexW2984993868MaRDI QIDQ1985793
Publication date: 7 April 2020
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.2019.111667
Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Hardy-Littlewood-Sobolev type systems
- Singularity and blow-up estimates via Liouville-type theorems for Hardy-Hénon parabolic equations
- Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz-Sobolev spaces
- Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations
- Combined effects in nonlinear problems arising in the study of anisotropic continuous media
- Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
- Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
- Parabolic Liouville-type theorems via their elliptic counterparts
- Liouville-type theorems and universal bounds for nonnegative solutions of the porous medium equation with source
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation
- Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure
- Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems
- Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle
- Blow-up of solutions of nonlinear parabolic inequalities
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Asymptotics of solutions of some nonlinear elliptic systems
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations
- Superlinear Parabolic Problems
