Existence of solution for a class of heat equation in whole \(\mathbb{R}^N\)

DOI10.3934/dcds.2021031zbMath1465.35283OpenAlexW3129012027MaRDI QIDQ2031218

Tahir Boudjeriou, Claudianor Oliveira Alves

Publication date: 8 June 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021031

zbMATH Keywords

global solutionNehari manifoldpotential well theorystable and unstable setcritical growth nonlinearity

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Initial value problems for second-order parabolic equations (35K15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (4)

Global well‐posedness and finite time blow‐up for a class of wave equation involving fractional p‐Laplacian with logarithmic nonlinearity ⋮ Global existence, blow-up and asymptotic behavior of solutions for a class of \(p(x)\)-Choquard diffusion equations in \(\mathbb{R}^N\) ⋮ Existence and non-existence of global solutions for a nonlocal Choquard-Kirchhoff diffusion equations in \(\mathbb{R}^N \) ⋮ Unnamed Item

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