Non-degeneracy of bubble solutions for higher order prescribed curvature problem
From MaRDI portal
Publication:2116804
DOI10.1515/ans-2022-0003zbMath1486.35172OpenAlexW4226082233MaRDI QIDQ2116804
Publication date: 18 March 2022
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2022-0003
Elliptic equations on manifolds, general theory (58J05) Higher-order elliptic equations (35J30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items
New existence for the higher order prescribed curvature problem ⋮ Non-radial solutions for higher order Hénon-type equation with critical exponent
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
- Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
- Group representations arising from Lorentz conformal geometry
- A perturbation result in prescribing scalar curvature on \(S^ n\)
- Classification of solutions of higher order conformally invariant equations
- Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics
- Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions
- Existence and nonexistence results for critical growth biharmonic elliptic equations
- A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator
- Concentration of solutions for the scalar curvature equation on \(\mathbb{R}^n\)
- Multi-bump solutions of \(-\Delta = K(x)u^{\frac{n+2}{n-2}}\) on lattices in \(\mathbb{R}^n\)
- Infinitely many solutions for the prescribed curvature problem of polyharmonic operator
- Large energy bubble solutions for Schrödinger equation with supercritical growth
- Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications
- Critical exponents and critical dimensions of polyharmonic operators
- Critical exponents, critical dimensions and the biharmonic operator
- The best sobolev constant
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Positive radial solutions for and related topics
- On –δu = K(x)u5 in ℝ3
- Multiple solutions of a critical polyharmonic equation
- Non-existence and symmetry of solutions to the scalar curvature equation