Existence of blow-up solutions for a non-linear equation with gradient term in \(\mathbb R^N\)

DOI10.1016/j.jmaa.2010.10.008zbMath1210.35136OpenAlexW1973527024MaRDI QIDQ626152

Najib Tsouli, Ahmed Hamydy, Mohammed Massar

Publication date: 22 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.008

zbMATH Keywords

existenceblow-up\(p\)-Laplacianradial solutionconvection termgradient term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Multiple positive solutions for a Kirchhoff type problem with a critical nonlinearity ⋮ Multiplicity of solutions for elliptic problems of \(p\)-Kirchhoff type with critical exponent ⋮ Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents ⋮ On ground state solutions for a Kirchhoff type equation with critical growth ⋮ Existence and multiplicity of solutions for a superlinear Kirchhoff-type equations with critical Sobolev exponent in \(\mathbb R^N\) ⋮ Entire Solutions of a Nonlinear Diffusion System ⋮ Existence theorems for a class of systems involving two quasilinear operators ⋮ A necessary and sufficient condition for the existence of large solutions for (\(p_1,\dots,p_d\))-Laplacian Schrödinger systems with a convection term ⋮ Existence and non-existence of blow-up solutions for a non-autonomous problem with indefinite and gradient terms

Cites Work

• On the inequality \(\Delta u \geqq f (u)\)
• Boundary asymptotic and uniqueness of solutions to the \(p\)-Laplacian with infinite boundary values
• Existence and uniqueness of nonnegative solutions for a boundary blow-up problem
• Existence results for quasilinear problems via ordered sub and supersolutions
• Regularity for a more general class of quasilinear equations
• Nonradial blow-up solutions of sublinear elliptic equations with gradient term
• Structure of boundary blow-up solutions for quasi-linear elliptic problems. II: Small and intermediate solutions
• Explosive solutions of elliptic equations with absorption and non-linear gradient term
• Existence and asymptotic behavior of blow-up solutions to weighted quasilinear equations
• Large solutions of semilinear elliptic equations with nonlinear gradient terms
• On solutions of δu=f(u)
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Unnamed Item

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