Periodic and quasiperiodic waves on the sphere

Periodic solutions to PDEs (35B10) Almost and pseudo-almost periodic solutions to PDEs (35B15) Second-order semilinear hyperbolic equations (35L71) PDEs on manifolds (35R01) Higher-order semilinear hyperbolic equations (35L76)

Cites Work

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Non-symmetric low-index solutions for a symmetric boundary value problem
Free vibrations for an asymmetric beam equation
KAM for the nonlinear beam equation
Partial symmetry of least energy nodal solutions to some variational problems
Symmetry and nonexistence of low Morse index solutions in unbounded domains
Green function for Schrödinger operator and conditioned Feynman-Kac gauge
Minimal solutions of variational problems on a torus
The effect of domain shape on the number of positive solutions of certain nonlinear equations
Symmetry and related properties via the maximum principle
Positivity for a strongly coupled elliptic system by Green function estimates
Partial symmetry and asymptotic behavior for some elliptic variational problems
Free vibrations for an asymmetric beam equation. II.
Periodic solutions of beam equations with symmetry
Symmetry results for solutions of semilinear elliptic equations with convex nonlinearities
Non-radial solutions for some semilinear elliptic equations on the disk
Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation
An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations
Spectral stability for the wave equation with periodic forcing
Periodic solutions for completely resonant nonlinear wave equations with Dirichlet boundary conditions
Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains
Generalized linking theorem with an application to a semilinear Schrödinger equation
Spontaneous periodic orbits in the Navier-Stokes flow
A Hopf bifurcation in the planar Navier-Stokes equations
Quasi-periodic solutions of nonlinear wave equations on the \(d\)-dimensional torus
Nonlinear oscillations of Hamiltonian PDEs
Periodic solutions for a class of nonlinear partial differential equations in higher dimension
Lindstedt series for periodic solutions of beam equations with quadratic and velocity dependent nonlinearities
Validated numerical solutions for a semilinear elliptic equation on some topological annuli in the plane
VARIATIONAL METHODS FOR QUASI-PERIODIC SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS
Families of Periodic Solutions for Some Hamiltonian PDEs
Symmetry of solutions to semilinear elliptic equations via Morse index
Periodic solutions of nonlinear vibrating strings and duality principles
Metric properties of minimal solutions of discrete periodical variational problems
Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
Periodic solutions of hamiltonian systems
An infinite dimensional Morse theory with applications
Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto--Sivashinsky Equation
Non-local equations and optimal Sobolev inequalities on compact manifolds

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