On Blow-Up of Positive Solutions for A Riharmonic Equation Involving Nearly Critical Exponent

DOI10.1080/03605309908821504zbMath0936.35054OpenAlexW1987209430MaRDI QIDQ4719946

Geng Di

Publication date: 5 January 2000

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908821504

zbMATH Keywords

blow-upcritical exponentbiharmonic equationNavier boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40) Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45)

Related Items (7)

Infinitely many peak solutions for a biharmonic equation involving critical exponent ⋮ On a biharmonic elliptic problem with slightly subcritical non-power nonlinearity ⋮ Asymptotic analysis on positive solutions of the Lane-Emden system with nearly critical exponents ⋮ Concentrating solutions for a biharmonic problem with supercritical growth ⋮ Uniform a priori estimates for positive solutions of higher order Lane-Emden equations in \(\mathbb{R}^{n}\) ⋮ Single blow-up solutions for a slightly subcritical biharmonic equation ⋮ On a fourth order elliptic equation with critical nonlinearity in dimension six

Cites Work

• Unnamed Item
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Proof of two conjectures of H. Brezis and L. A. Peletier
• Elliptic equations with nearly critical growth
• On a variational problem with lack of compactness: The topological effect of the critical points at infinity
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• Location of the blow up point for positive solutions of a biharmonic equation involving nearly critical exponent
• Critical exponents, critical dimensions and the biharmonic operator
• Little holes and convergence of solutions of −Δu = u(N + 2)⧸(N - 2)
• On Limits Of Solutions Of Elliptic Problems With Nearly Critical Exponent
• Asymptotic behavior of a nonlinear fourth order eigenvalue problem

This page was built for publication: On Blow-Up of Positive Solutions for A Riharmonic Equation Involving Nearly Critical Exponent