Oscillatory radial solutions for subcritical biharmonic equations

DOI10.1016/j.jde.2009.05.005zbMath1216.35053OpenAlexW1977187039MaRDI QIDQ833295

Monica Lazzo, Paul G. Schmidt

Publication date: 12 August 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.05.005

zbMATH Keywords

Dirichlet problemradial solutionsbiharmonic equationlarge solutionsentire solutionsoscillatory behavior

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (12)

Multiple solutions on a \(p\)-biharmonic equation with nonlocal term ⋮ Classification of radial solutions for semilinear elliptic systems with nonlinear gradient terms ⋮ Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials ⋮ Radial solutions of a polyharmonic equation with power nonlinearity ⋮ Periodic solutions and invariant manifolds for an even-order differential equation with power nonlinearity ⋮ Super poly-harmonic property of solutions for Navier boundary problems on a half space ⋮ Asymptotic behavior of large radial solutions of a polyharmonic equation with superlinear growth ⋮ Uniqueness of weak solutions for a biharmonic problem ⋮ Radially symmetric solutions to the Hénon–Lane–Emden system on the critical hyperbola ⋮ Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators ⋮ Eigenvalues for a fourth order elliptic problem ⋮ A Liouville theorem for \(\alpha\)-harmonic functions in \(\mathbb{R}^n_+\)

Cites Work

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• Radial solutions of a polyharmonic equation with power nonlinearity
• Supercritical biharmonic equations with power-type nonlinearity
• Ganze Lösungen der Differentialgleichung \(\Delta^p u = f(u)\)
• On the inequality \(\Delta u \geqq f (u)\)
• The Paneitz equation in hyperbolic space
• Nodal properties of radial solutions for a class of polyharmonic equations
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• Existence and nonexistence results for critical growth biharmonic elliptic equations
• Asymptotics of radial oscillatory solutions of semilinear elliptic equations
• Periodic solutions and invariant manifolds for an even-order differential equation with power nonlinearity
• Radial entire solutions for supercritical biharmonic equations
• On solutions of δu=f(u)
• Competitive and Cooperative Tridiagonal Systems of Differential Equations
• The best sobolev constant
• Nonexistence criteria for polyharmonic boundary-value problems
• Stability and intersection properties of solutions to the nonlinear biharmonic equation
• On the Cauchy Problem for Reaction-Diffusion Equations
• A rellich type identity and applications

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