The critical hyperbola for a Hamiltonian elliptic system with weights

DOI10.1007/s10231-007-0054-1zbMath1223.35177OpenAlexW1971422458MaRDI QIDQ931330

Julio D. Rossi, Ireneo Peral Alonso, Djairo Guedes de Figueiredo

Publication date: 25 June 2008

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-007-0054-1

zbMATH Keywords

elliptic systemsvariational problemsnonlinear boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20) Boundary value problems for first-order elliptic systems (35J56) Boundary value problems for second-order elliptic systems (35J57) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (28)

Nonnegative solutions and multiple solutions for a class of weighted Hamiltonian subelliptic systems ⋮ The Hénon-Lane-Emden system: a sharp nonexistence result ⋮ Existence results for critical singular elliptic systems ⋮ Infinitely many solutions for Hardy-Hénon type elliptic system in hyperbolic space ⋮ Nonexistence of positive solutions of an integral system with weights ⋮ On the singular elliptic systems involving multiple critical Sobolev exponents ⋮ Elliptic systems of Hénon type involving one-sided critical growth ⋮ Bound and ground states of coupled ``NLS-KdV equations with Hardy potential and critical power ⋮ The Brezis–Nirenberg problem for fractional systems with Hardy potentials ⋮ On Caffarelli-Kohn-Nirenberg-type inequalities for the weighted biharmonic operator in cones ⋮ Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms ⋮ On a singular class of Hamiltonian systems in dimension two ⋮ Symmetry and nonexistence of positive solutions of integral systems with Hardy terms ⋮ SYMMETRY BREAKING FOR GROUND-STATE SOLUTIONS OF HÉNON SYSTEMS IN A BALL ⋮ Asymptotic behavior of solutions for Hénon systems with nearly critical exponent ⋮ Quasilinear elliptic systems involving critical Hardy-Sobolev and Sobolev exponents ⋮ Some remarks on systems of elliptic equations doubly critical in the whole \(\mathbb R^N\) ⋮ Radially symmetric solutions to the Hénon–Lane–Emden system on the critical hyperbola ⋮ Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents ⋮ Radial and non radial solutions for Hardy-Hénon type elliptic systems ⋮ Existence and multiplicity of positive solutions to elliptic systems involving critical exponents ⋮ Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials ⋮ Elementary Proofs of Embedding Theorems for Potential Spaces of Radial Functions ⋮ The homogeneous Hénon-Lane-Emden system ⋮ Elliptic systems involving the critical exponents and potentials ⋮ QUASILINEAR ELLIPTIC EQUATIONS OF THE HENON-TYPE: EXISTENCE OF NON-RADIAL SOLUTIONS ⋮ Existence of bound and ground states for an elliptic system with double criticality ⋮ Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space

Cites Work

• Periodic solutions of superquadratic Hamiltonian systems
• Effect of the boundary conditions in the behavior of the optimal constant of some Caffarelli-Kohn-Nirenberg inequalities. Application to some doubly critical nonlinear elliptic problems
• Variational identities and applications to differential systems
• Existence and non-existence of positive solutions of nonlinear elliptic systems and the biharmonic equation
• Hardy inequalities and some critical elliptic and parabolic problems
• Multiplicity for symmetric indefinite functionals: Application to Hamiltonian and elliptic systems
• Partial symmetry and asymptotic behavior for some elliptic variational problems
• On quasilinear elliptic equations related to some Caffarelli-Kohn-Nirenberg inequalities
• Eigenvalues and bifurcation for elliptic equations with mixed Dirichlet-Neumann boundary conditions related to Caffarelli-Kohn-Nirenberg inequalities
• Some remarks on a system of quasilinear elliptic equations
• On nonquadratic Hamiltonian elliptic systems
• Differential systems with strongly indefinite variational structure
• On a semilinear elliptic equation with inverse-square potential
• Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian with a critical potential
• Elliptic systems with nonlinearities of arbitrary growth
• Non radial positive solution for the Hénon equation with critical growth
• Positive splutions of semilinear elliptic systems
• Existence and Uniquenss of Positive Solutions for Certain Quasilinear Elliptic Systems
• On Superquadratic Elliptic Systems
• Some results for semilinear elliptic equations with critical potential
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Multiplicity Results for the Supercritical Hénon Equation
• Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The critical hyperbola for a Hamiltonian elliptic system with weights