Positivity properties of elliptic boundary value problems of higher order
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Publication:4378779
DOI10.1016/S0362-546X(96)00164-2zbMath0894.35016OpenAlexW1973156297MaRDI QIDQ4378779
Guido Sweers, Hans-Christoph Grunau
Publication date: 8 September 1998
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00164-2
Boundary value problems for higher-order elliptic equations (35J40) Maximum principles in context of PDEs (35B50)
Related Items (12)
Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity ⋮ Optimal Hardy--Rellich inequalities, maximum principle and related eigenvalue problem ⋮ \(S\)-shaped connected component for the fourth-order boundary value problem ⋮ Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations ⋮ The Dirichlet problem for supercritical biharmonic equations with power-type nonlinearity ⋮ Sign-preserving property for some fourth-order elliptic operators in one dimension or in radial symmetry ⋮ Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems ⋮ Existence and stability of entire solutions to a semilinear fourth order elliptic problem ⋮ Uniform bounds for higher-order semilinear problems in conformal dimension ⋮ Unnamed Item ⋮ On nontrivial solutions of critical polyharmonic elliptic systems ⋮ Uniform anti-maximum principles
Cites Work
- Unnamed Item
- On the structure of biharmonic functions satisfying the clamped plate conditions on a right angle
- A computation of Green functions for the weighted biharmonic operators \(\Delta| z| ^{-2\alpha}\Delta\), with \(\alpha > -1\)
- Positive solutions to semilinear polyharmonic Dirichlet problems involving critical Sobolev exponents
- Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions
- On Green's function for the biharmonic equation in a right angle wedge
- A partial differential equation arising in conformal mapping
- On generation of solutions of the biharmonic equation in the plane by conformal mappings
- Remark on the preceding paper of Charles Loewner
- Maximum theorems for solutions of higher order elliptic equations
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- ON SIGN VARIATION AND THE ABSENCE OF "STRONG" ZEROS OF SOLUTIONS OF ELLIPTIC EQUATIONS
- On the Structure of Solutions $\Delta ^2 u = \lambda u$ Which Satisfy the Clamped Plate Conditions on a Right Angle
- An Elementary Proof That the Biharmonic Green Function of an Eccentric Ellipse Changes Sign
- Sharp estimates for iterated Green functions
- Positivity for Perturbations of Polyharmonic Operators with Dirichlet Boundary Conditions in Two Dimensions
- On a Question of Hadamard Concerning Super‐Biharmonic Functions
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