Nonlinear Analysis, ISSN 0362-546X, 2011, Volume 74, Issue 5, pp. 1823 - 1834

Let be a separable Hilbert space which is an orthogonal representation of a compact Lie group and let be a -invariant strongly indefinite functional of the...

Global bifurcation of critical orbits | Non-cooperative elliptic systems | Strongly indefinite functionals | HILBERT-SPACES | PERIODIC-SOLUTIONS | MATHEMATICS, APPLIED | CRITICAL-POINT THEORY | SYMMETRIES | ELLIPTIC DIFFERENTIAL-EQUATIONS | MATHEMATICS | EQUIVARIANT DEGREE | CONLEY INDEX | SPECTRAL FLOW | HAMILTONIAN-SYSTEMS | MORSE-THEORY | Elliptic differential equations | Functionals | Images | Lie groups | Bifurcations | Nonlinearity | Hilbert space | Orbits | Representations

Global bifurcation of critical orbits | Non-cooperative elliptic systems | Strongly indefinite functionals | HILBERT-SPACES | PERIODIC-SOLUTIONS | MATHEMATICS, APPLIED | CRITICAL-POINT THEORY | SYMMETRIES | ELLIPTIC DIFFERENTIAL-EQUATIONS | MATHEMATICS | EQUIVARIANT DEGREE | CONLEY INDEX | SPECTRAL FLOW | HAMILTONIAN-SYSTEMS | MORSE-THEORY | Elliptic differential equations | Functionals | Images | Lie groups | Bifurcations | Nonlinearity | Hilbert space | Orbits | Representations

Journal Article

Annales de l'Institut Henri Poincare / Analyse non lineaire, ISSN 0294-1449, 2009, Volume 26, Issue 2, pp. 675 - 688

We prove that the elliptic system where is a regular bounded domain of , and , admits an unbounded sequence of solutions , provided and . We also prove a...

Elliptic system | Genericity | Strongly indefinite functional | Lyapunov–Schmidt reduction | Perturbation from symmetry | Lyapunov-Schmidt reduction | MATHEMATICS, APPLIED | BOUNDARY-VALUE-PROBLEMS | SYSTEMS | ELLIPTIC-EQUATIONS

Elliptic system | Genericity | Strongly indefinite functional | Lyapunov–Schmidt reduction | Perturbation from symmetry | Lyapunov-Schmidt reduction | MATHEMATICS, APPLIED | BOUNDARY-VALUE-PROBLEMS | SYSTEMS | ELLIPTIC-EQUATIONS

Journal Article

Comptes rendus - Mathématique, ISSN 1631-073X, 05/2016, Volume 354, Issue 5, pp. 475 - 479

We provide a simple proof for a higher-dimensional version of the Poincaré–Birkhoff theorem, which applies to Poincaré time maps of Hamiltonian systems. These...

MATHEMATICS | STRONGLY INDEFINITE FUNCTIONALS

MATHEMATICS | STRONGLY INDEFINITE FUNCTIONALS

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 2009, Volume 257, Issue 12, pp. 3802 - 3822

We consider the nonlinear stationary Schrödinger equation in . Here is a superlinear, subcritical nonlinearity, and we mainly study the case where both and are...

Ground state | Strongly indefinite functional | Minimax principle | Schrödinger equation | MATHEMATICS | EIGENVALUES | Schrodinger equation | NONLINEAR SCHRODINGER-EQUATIONS | GAPS | ELLIPTIC SYSTEM | Algebra, geometri och analys | Schrödingerequation; Strongly indeﬁnite functional; Minimax principle; Ground state | Naturvetenskap | Matematisk analys | Analys | Mathematics | Natural Sciences | Matematik | Algebra, geometry and mathematical analysis | Mathematical Analysis

Ground state | Strongly indefinite functional | Minimax principle | Schrödinger equation | MATHEMATICS | EIGENVALUES | Schrodinger equation | NONLINEAR SCHRODINGER-EQUATIONS | GAPS | ELLIPTIC SYSTEM | Algebra, geometri och analys | Schrödingerequation; Strongly indeﬁnite functional; Minimax principle; Ground state | Naturvetenskap | Matematisk analys | Analys | Mathematics | Natural Sciences | Matematik | Algebra, geometry and mathematical analysis | Mathematical Analysis

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2009, Volume 214, Issue 1, pp. 187 - 200

Based on new deformation theorems concerning strongly indefinite functionals, we give some new min–max theorems which are useful in looking for critical points...

Periodic solutions | Non-autonomous Hamiltonian system | Strongly indefinite | Cerami condition | EQUATIONS | MATHEMATICS, APPLIED

Periodic solutions | Non-autonomous Hamiltonian system | Strongly indefinite | Cerami condition | EQUATIONS | MATHEMATICS, APPLIED

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 359, Issue 1, pp. 28 - 38

In this paper, we discuss the bifurcation problems for strongly indefinite functional via Morse theory. The generalized topological degree for a class of...

Morse theory | Bifurcation | Strongly indefinite functional | INFINITY | MATHEMATICS | MATHEMATICS, APPLIED | VARIATIONAL APPROACH | THEOREM | POTENTIAL-OPERATORS | STRONG RESONANCE | CRITICAL-POINT

Morse theory | Bifurcation | Strongly indefinite functional | INFINITY | MATHEMATICS | MATHEMATICS, APPLIED | VARIATIONAL APPROACH | THEOREM | POTENTIAL-OPERATORS | STRONG RESONANCE | CRITICAL-POINT

Journal Article

7.
Full Text
Generalized Fountain Theorem and applications to strongly indefinite semilinear problems

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2013, Volume 405, Issue 2, pp. 438 - 452

By using the degree theory and the -topology of Kryszewski and Szulkin, we establish a version of the Fountain Theorem for strongly indefinite functionals. The...

Multiple solutions | Fountain Theorem | [formula omitted]-topology | Variational methods | Kryszewski–Szulkin degree | Strongly indefinite functionals | Kryszewski-Szulkin degree | τ-topology | EXISTENCE | MATHEMATICS, APPLIED | CRITICAL-POINT THEORY | SYMMETRIES | SCHRODINGER-EQUATION | MATHEMATICS | SYSTEMS | ELLIPTIC-EQUATIONS | tau-topology | FUNCTIONALS

Multiple solutions | Fountain Theorem | [formula omitted]-topology | Variational methods | Kryszewski–Szulkin degree | Strongly indefinite functionals | Kryszewski-Szulkin degree | τ-topology | EXISTENCE | MATHEMATICS, APPLIED | CRITICAL-POINT THEORY | SYMMETRIES | SCHRODINGER-EQUATION | MATHEMATICS | SYSTEMS | ELLIPTIC-EQUATIONS | tau-topology | FUNCTIONALS

Journal Article

Annales de l'Institut Henri Poincare / Analyse non lineaire, ISSN 0294-1449, 2009, Volume 26, Issue 3, pp. 1049 - 1054

We correct the statement and the proof of Proposition 9 in [D. Bonheure, M. Ramos, Multiple critical points of perturbed symmetric strongly indefinite...

Elliptic system | Genericity | Strongly indefinite functional | Lyapunov–Schmidt reduction | Perturbation from symmetry | Lyapunov-Schmidt reduction

Elliptic system | Genericity | Strongly indefinite functional | Lyapunov–Schmidt reduction | Perturbation from symmetry | Lyapunov-Schmidt reduction

Journal Article

Science China Mathematics, ISSN 1674-7283, 2018, Volume 63, Issue 1, pp. 113 - 134

Journal Article

Communications on Pure and Applied Analysis, ISSN 1534-0392, 09/2015, Volume 14, Issue 5, pp. 1929 - 1940

Based on a generalized linking theorem for the strongly indefinite functionals, we study the existence of homoclinic orbits of the second order self-adjoint...

Strongly indefinite functional | Homoclinic orbit | Periodicity | Discrete Hamiltonian system | MATHEMATICS | homoclinic orbit | MATHEMATICS, APPLIED | strongly indefinite functional | periodicity | NONLINEAR DIFFERENCE-EQUATIONS

Strongly indefinite functional | Homoclinic orbit | Periodicity | Discrete Hamiltonian system | MATHEMATICS | homoclinic orbit | MATHEMATICS, APPLIED | strongly indefinite functional | periodicity | NONLINEAR DIFFERENCE-EQUATIONS

Journal Article

Advanced Nonlinear Studies, ISSN 1536-1365, 2014, Volume 14, Issue 2, pp. 361 - 373

Consider the semilinear Schrodinger equation {-boolean AND u + V(x)u = f(x, u), x is an element of R-N, u is an element of H-1(R-N), where f is a superlinear,...

Superlinear | Strongly indefinite functional | Schrödinger equation | Ground state solutions | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | Schrodinger equation | NONLINEARITY | INDEFINITE LINEAR PART

Superlinear | Strongly indefinite functional | Schrödinger equation | Ground state solutions | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | Schrodinger equation | NONLINEARITY | INDEFINITE LINEAR PART

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2013, Volume 399, Issue 2, pp. 433 - 441

This paper is concerned with the following nonperiodic Hamiltonian elliptic system where , . Assuming the potential is nonperiodic and sign-changing, is...

Variational methods | Hamiltonian elliptic system | Strongly indefinite functionals | MATHEMATICS | MATHEMATICS, APPLIED | INDEFINITE FUNCTIONALS | R-N | NONLINEAR SCHRODINGER-EQUATIONS

Variational methods | Hamiltonian elliptic system | Strongly indefinite functionals | MATHEMATICS | MATHEMATICS, APPLIED | INDEFINITE FUNCTIONALS | R-N | NONLINEAR SCHRODINGER-EQUATIONS

Journal Article

13.
Full Text
Ground-state solutions for superquadratic Hamiltonian elliptic systems with gradient terms

Nonlinear Analysis, ISSN 0362-546X, 01/2014, Volume 95, pp. 1 - 10

In this paper, we study the following Hamiltonian elliptic system with gradient terms: for , where , , and are -periodic in . Under weak superquadratic...

Hamiltonian elliptic systems | Ground-state solutions | Strongly indefinite functionals | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | THEOREMS | PERIODIC SCHRODINGER-EQUATION | Nonlinearity

Hamiltonian elliptic systems | Ground-state solutions | Strongly indefinite functionals | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | THEOREMS | PERIODIC SCHRODINGER-EQUATION | Nonlinearity

Journal Article

Electronic Journal of Differential Equations, ISSN 1072-6691, 08/2004, Volume 2004, Issue 100, pp. 1 - 18

We prove a critical-point result which provides conditions for the existence of infinitely many critical points of a strongly indefinite functional with...

Multiple solutions | Elliptic systems | Critical sobolev exponent | Critical point theory | Perturbation of symmetries | Strongly indefinite functionals | MATHEMATICS | MATHEMATICS, APPLIED | elliptic systems | strongly indefinite functionals | perturbation of symmetries | multiple solutions | critical Sobolev exponent

Multiple solutions | Elliptic systems | Critical sobolev exponent | Critical point theory | Perturbation of symmetries | Strongly indefinite functionals | MATHEMATICS | MATHEMATICS, APPLIED | elliptic systems | strongly indefinite functionals | perturbation of symmetries | multiple solutions | critical Sobolev exponent

Journal Article

Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 08/2017, Volume 37, Issue 8, pp. 4565 - 4583

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 09/2006, Volume 279, Issue 12, pp. 1267 - 1288

Let E be a Banach space and Φ : E → ℝ a 𝒞1‐functional. Let 𝒫 be a family of semi‐norms on E which separates points and generates a (possibly non‐metrizable)...

Critical point theory | strongly indefinite functionals | gage spaces | Gage spaces | Strongly indefinite functional | MATHEMATICS | HAMILTONIAN SYSTEM | SYMMETRIES | critical point theory | NONLINEAR DIRAC EQUATIONS | HOMOCLINIC ORBITS

Critical point theory | strongly indefinite functionals | gage spaces | Gage spaces | Strongly indefinite functional | MATHEMATICS | HAMILTONIAN SYSTEM | SYMMETRIES | critical point theory | NONLINEAR DIRAC EQUATIONS | HOMOCLINIC ORBITS

Journal Article

Zeitschrift fur Angewandte Mathematik und Physik, ISSN 0044-2275, 06/2011, Volume 62, Issue 3, pp. 495 - 511

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 07/2015, Volume 263, pp. 36 - 46

This paper is concerned with the following nonperiodic Hamiltonian elliptic system where ≥ 3, and the potential ( ) is nonperiodic and sign-changing. By...

Generalized linking theorem | Variational methods | Hamiltonian elliptic system | Sign-changing potential | Strongly indefinite functionals | EXISTENCE | MATHEMATICS, APPLIED | SEMICLASSICAL SOLUTIONS | NONLINEARITY | SCHRODINGER-EQUATION | GROUND-STATE SOLUTIONS | INDEFINITE FUNCTIONALS | R-N

Generalized linking theorem | Variational methods | Hamiltonian elliptic system | Sign-changing potential | Strongly indefinite functionals | EXISTENCE | MATHEMATICS, APPLIED | SEMICLASSICAL SOLUTIONS | NONLINEARITY | SCHRODINGER-EQUATION | GROUND-STATE SOLUTIONS | INDEFINITE FUNCTIONALS | R-N

Journal Article

Advances in Differential Equations, ISSN 1079-9389, 2017, Volume 22, Issue 11-12, pp. 963 - 982

We prove a version of the Poincare Hopf theorem suitable for strongly indefinite functionals and then apply it to infer a number of bifurcation results in...

MATHEMATICS | PERIODIC-SOLUTIONS | MATHEMATICS, APPLIED | SYSTEMS | POINTS | STRONGLY INDEFINITE FUNCTIONALS | BIFURCATION

MATHEMATICS | PERIODIC-SOLUTIONS | MATHEMATICS, APPLIED | SYSTEMS | POINTS | STRONGLY INDEFINITE FUNCTIONALS | BIFURCATION

Journal Article

JOURNAL OF FUNCTIONAL ANALYSIS, ISSN 0022-1236, 05/2017, Volume 272, Issue 10, pp. 4304 - 4333

We find solutions E : Omega -> R-3 of the problem {del x (mu(x)(-1)del x E)-omega(2 epsilon)(x)E = partial derivative F-E(x, E) in Omega v x E=0 on partial...

Uniaxial media | MATHEMATICS | Variational methods for strongly indefinite functionals | SPACES | THEOREMS | FIELD | Ground state | Time-harmonic Maxwell equations in anisotropic nonlinear media | DOMAINS | CYLINDRICAL TM-MODES

Uniaxial media | MATHEMATICS | Variational methods for strongly indefinite functionals | SPACES | THEOREMS | FIELD | Ground state | Time-harmonic Maxwell equations in anisotropic nonlinear media | DOMAINS | CYLINDRICAL TM-MODES

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.