On unique continuation principles for some elliptic systems
From MaRDI portal
Publication:2046472
DOI10.1016/j.anihpc.2020.12.001OpenAlexW3117715570MaRDI QIDQ2046472
Gabrielle Nornberg, Nicola Soave, Ederson Moreira dos Santos
Publication date: 18 August 2021
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.07948
Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items
Principal spectral curves for Lane-Emden fully nonlinear type systems and applications ⋮ On Hamiltonian systems with critical Sobolev exponents
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symmetry of components, Liouville-type theorems and classification results for some nonlinear elliptic systems
- The nodal set of solutions to some elliptic problems: sublinear equations, and unstable two-phase membrane problem
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- The analysis of linear partial differential operators. IV: Fourier integral operators
- Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Symmetry properties in systems of semilinear elliptic equations
- The free boundary in the Thomas-Fermi atomic model
- Unique continuation for sublinear elliptic equations based on Carleman estimates
- Least energy nodal solutions of Hamiltonian elliptic systems with Neumann boundary conditions
- Existence of many positive solutions of semilinear equations on annulus
- Existence and uniqueness of positive radial solutions for the Lane-Emden system
- Symmetry and symmetry breaking for ground state solutions of some strongly coupled elliptic systems
- Symmetry properties of positive solutions for fully nonlinear elliptic systems
- The nodal set of solutions to some elliptic problems: singular nonlinearities
- Unique continuation for fully nonlinear elliptic equations
- Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems
- Maximum principle for fully nonlinear equations via the iterated comparison function method
- Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients
- Symmetry of Components for Semilinear Elliptic Systems
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Unique Continuation for Elliptic Equations
- Nodal sets of solutions of elliptic and parabolic equations
- Strong unique continuation for products of elliptic operators of second order
- Unique continuation for elliptic operators: A geometric-variational approach
- Uniqueness for the Characteristic Cauchy Problem and Strong Unique Continuation for Higher Order Partial Differential Inequalities
- A rellich type identity and applications
- Some remarks on strong unique continuation for the laplace operator and its powers
- The Unique Continuation Property of Sublinear Equations
- On viscosity solutions of fully nonlinear equations with measurable ingredients
- Boundary Harnack Estimates and Quantitative Strong Maximum Principles for Uniformly Elliptic PDE
