A note on nonlinear biharmonic equations with negative exponents
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Publication:713341
DOI10.1016/J.JDE.2012.08.037zbMath1262.35098OpenAlexW1982372883MaRDI QIDQ713341
Publication date: 26 October 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2012.08.037
Asymptotic behavior of solutions to PDEs (35B40) Higher-order elliptic equations (35J30) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (19)
On the sub poly-harmonic property for solutions to \((- \Delta)^p u < 0\) in \(\mathbb{R}^n\) ⋮ Stability for entire radial solutions to the biharmonic equation with negative exponents ⋮ On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents ⋮ A local pointwise inequality for a biharmonic equation with negative exponents ⋮ Radial singular solutions for a fourth order equation with negative exponents ⋮ Classification of radial solutions for semilinear elliptic systems with nonlinear gradient terms ⋮ Existence and boundary behaviour of radial solutions for weighted elliptic systems with gradient terms ⋮ Classification of entire solutions of $(-\Delta )^N u + u^{-(4N-1)}= 0$ with exact linear growth at infinity in $\mathbf {R}^{2N-1}$ ⋮ A new proof of I. Guerra's results concerning nonlinear biharmonic equations with negative exponents ⋮ A pointwise inequality for a biharmonic equation with negative exponent and related problems ⋮ A perturbed fourth order elliptic equation with negative exponent ⋮ A critical \(p\)-biharmonic system with negative exponents ⋮ The regularity and stability of solutions to semilinear fourth-order elliptic problems with negative exponents ⋮ An exact estimate result for \(p\)-biharmonic equations with Hardy potential and negative exponents ⋮ Higher order conformally invariant equations in \( \mathbb{R}^3 \) with prescribed volume ⋮ Non-radial solutions to a bi-harmonic equation with negative exponent ⋮ Nonexistence of Positive Supersolutions of Nonlinear Biharmonic Equations without the Maximum Principle ⋮ Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝn ⋮ Existence, nonexistence and uniqueness for Lane–Emden type fully nonlinear systems
Cites Work
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- Exact solutions of nonlinear conformally invariant integral equations in \(\mathbf R^3\)
- Uniqueness theorem for integral equations and its application
- Multiplicity of solutions for a fourth order equation with power-type nonlinearity
- Entire solutions and global bifurcations for a biharmonic equation with singular non-linearity in \(\mathbb{R}^3\)
- Applications of centre manifold theory
- Nonlinear biharmonic equations with negative exponents
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Asymptotic behaviour of ground states
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