Biharmonic equations with totally characteristic degeneracy
DOI10.1016/j.na.2020.112156zbMath1459.35125OpenAlexW3091917303MaRDI QIDQ1995013
Nanbo Chen, Zhihua Huang, Xiaochun Liu
Publication date: 18 February 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2020.112156
Boundary value problems for higher-order elliptic equations (35J40) Degenerate elliptic equations (35J70) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary behavior of harmonic functions in higher dimensions (31B25)
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Cites Work
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- Lower and upper bounds of Dirichlet eigenvalues for totally characteristic degenerate elliptic operators
- Singular radial entire solutions and weak solutions with prescribed singular set for a biharmonic equation
- Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents
- Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities
- Pseudo-differential operators, singularities, applications
- Existence results for degenerate elliptic equations with critical cone Sobolev exponents
- Multiple solutions for semilinear totally characteristic elliptic equations with subcritical or critical cone Sobolev exponents
- Dirichlet problem for semilinear edge-degenerate elliptic equations with singular potential term
- Realizations of differential operators on conic manifolds with boundary
- Propagation of singularities for the wave equation on edge manifolds
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Regularity of the solutions for nonlinear biharmonic equations in \(\mathbb R^N\)
- A signature formula for manifolds with corners of codimension two
- Propagation of singularities for the wave equation on conic manifolds
- Minimax theorems
- Existence theorem for a class of semilinear totally characteristic elliptic equations involving supercritical cone Sobolev exponents
- Dual variational methods in critical point theory and applications
- The Swift-Hohenberg equation on conic manifolds
- Lower bounds of eigenvalues for a class of bi-subelliptic operators
- Multiple positive solutions for semi-linear elliptic systems involving sign-changing weight on manifolds with conical singularities
- Multiple solutions for semi-linear corner degenerate elliptic equations
- Bounded imaginary powers of cone differential operators on higher order Mellin-Sobolev spaces and applications to the Cahn-Hilliard equation
- Edge Sobolev spaces and weakly hyperbolic equations
- The Cahn-Hilliard Equation and the Allen-Cahn Equation on Manifolds with Conical Singularities
- Existence of solutions for degenerate elliptic equations with singular potential on conical singular manifolds
- Remarks on Entire Solutions for Two Fourth-Order Elliptic Problems
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- BoundedH∞-Calculus for Differential Operators on Conic Manifolds with Boundary
- Critical semilinear biharmonic equations in RN
- Differential operators of Fuchs type, conical singularities, and asymptotic methods
- NONNEGATIVE SOLUTIONS FOR SEMILINEAR BIHARMONIC EQUATIONS IN RN
- Asymptotics of positive solutions for a biharmonic equation involving critical exponent
- Ellipticity and invertibility in the cone algebra on \(L_p\)-Sobolev spaces
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