Some weighted fourth-order Hardy-Hénon equations
DOI10.1016/j.jfa.2022.109745OpenAlexW4280524167MaRDI QIDQ2097950
Xingliang Tian, Shengbing Deng
Publication date: 15 November 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.08937
non-degeneracyCaffarelli-Kohn-Nirenberg inequalitiesremainder termsHardy-Hénon equationprescribed perturbation
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Higher-order elliptic equations (35J30) Semilinear elliptic equations (35J61) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Related Items (2)
Cites Work
- Unnamed Item
- Linear perturbations for the critical Hénon problem.
- A new dynamical approach of Emden-Fowler equations and systems
- On Caffarelli-Kohn-Nirenberg-type inequalities for the weighted biharmonic operator in cones
- Supercritical elliptic problem with nonautonomous nonlinearities
- The concentration-compactness principle in the calculus of variations. The limit case. I
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Sobolev inequalities with remainder terms
- Symmetry and related properties via the maximum principle
- A note on the Sobolev inequality
- Best constant in Sobolev inequality
- Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics
- A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
- Caffarelli--Kohn--Nirenberg inequalities with remainder terms.
- A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator
- Sign-changing solutions at the almost Hénon critical exponent
- Sign-changing bubble tower solutions for the supercritical Hénon-type equations
- A Liouville theorem for the subcritical Lane-Emden system
- Hardy-Sobolev inequalities with remainder terms.
- Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type.
- The regularity lifting methods for nonnegative solutions of Lane-Emden system
- Bifurcation analysis of the Hardy-Sobolev equation
- Classification of positive radial solutions to a weighted biharmonic equation
- Classification to the positive radial solutions with weighted biharmonic equation
- Sign-changing solutions for critical equations with Hardy potential
- Bubble solutions for Hénon type equation with nearly critical exponent in \(\mathbb{R}^N\)
- The Hénon-Lane-Emden system: a sharp nonexistence result
- Best constant for the embedding of the space \(H^ 2\cap H^ 1_ 0(\Omega)\) into \(L^{2N/(N-4)}\Omega\)
- On the Hénon-Lane-Emden conjecture
- Nonradial solutions for the Hénon equation in \(\mathbb R^N\)
- Critical exponents, critical dimensions and the biharmonic operator
- Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications
- On a class of elliptic problems in R2: symmetry and uniqueness results
- Estimates on Pull-In Distances in Microelectromechanical Systems Models and Other Nonlinear Eigenvalue Problems
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Sign-changing bubble tower solutions for a supercritical elliptic problem with the Hénon term
- On a Sobolev inequality with remainder terms
- Embeddings of weighted Sobolev spaces and a weighted fourth-order elliptic equation
- Non-degeneracy for the critical Lane–Emden system
- Bubble tower phenomena for an almost critical Hénon type problem
- On the Hardy–Sobolev equation
- Remainder terms in the fractional Sobolev inequality
- Liouville-type theorems for polyharmonic H\'enon-Lane-Emden system
- Bubbling solutions to an anisotropic Hénon equation
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