## Rabinowitz

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### Filipe Dantastorres - One of the best experts on this subject based on the ideXlab platform.

• ##### review of human animal medicine clinical approaches to zoonoses and other shared health risks by peter m Rabinowitz and lisa a conti eds
Parasites & Vectors, 2010
Co-Authors: Filipe Dantastorres
Abstract:

Book review of "Human-Animal Medicine, Clinical Approaches to Zoonoses, Toxicants and Other Shared Health Risks" by Peter M. Rabinowitz and Lisa A. Conti (eds.)

### Ali Maalaoui - One of the best experts on this subject based on the ideXlab platform.

• ##### the Rabinowitz floer homology for a class of semilinear problems and applications
Journal of Functional Analysis, 2015
Co-Authors: Ali Maalaoui, Vittorio Martino
Abstract:

Abstract In this paper, we construct a Rabinowitz–Floer type homology for a class of non-linear problems having a starshaped potential; we consider some equivariant cases as well. We give an explicit computation of the homology and we apply it to obtain results of existence and multiplicity of solutions for several model equations.

• ##### The Rabinowitz–Floer homology for a class of semilinear problems and applications
Journal of Functional Analysis, 2015
Co-Authors: Ali Maalaoui, Vittorio Martino
Abstract:

Abstract In this paper, we construct a Rabinowitz–Floer type homology for a class of non-linear problems having a starshaped potential; we consider some equivariant cases as well. We give an explicit computation of the homology and we apply it to obtain results of existence and multiplicity of solutions for several model equations.

• ##### the Rabinowitz floer homology for a class of semilinear problems and applications
arXiv: Analysis of PDEs, 2015
Co-Authors: Ali Maalaoui, Vittorio Martino
Abstract:

In this paper, we construct a Rabinowitz-Floer type homology for a class of non-linear problems having a \emph{starshaped} potential; we consider some equivariant cases as well. We give an explicit computation of the homology and we apply it to obtain results of existence and multiplicity of solutions for several model equations.

• ##### Rabinowitz floer homology for superquadratic dirac equations on compact spin manifolds
Journal of Fixed Point Theory and Applications, 2013
Co-Authors: Ali Maalaoui
Abstract:

In this paper, we investigate the properties of a semilinear problem on a spin manifold involving the Dirac operator through the construction of Rabinowitz–Floer homology groups. We give several existence results for subcritical and critical nonlinearities as application of the computation of the different homologies.

• ##### Rabinowitz–Floer homology for superquadratic Dirac equations on compact spin manifolds
Journal of Fixed Point Theory and Applications, 2013
Co-Authors: Ali Maalaoui
Abstract:

In this paper, we investigate the properties of a semilinear problem on a spin manifold involving the Dirac operator through the construction of Rabinowitz–Floer homology groups. We give several existence results for subcritical and critical nonlinearities as application of the computation of the different homologies.

### Claudianor O Alves - One of the best experts on this subject based on the ideXlab platform.

• ##### existence of solution for a class of problem in whole mathbb r n rn without the ambrosetti Rabinowitz condition
Manuscripta Mathematica, 2020
Co-Authors: Claudianor O Alves, Marco A S Souto
Abstract:

In this paper we study the existence of solution for a class of elliptic problem in whole $$\mathbb {R}^N$$ without the well known Ambrosetti–Rabinowitz condition. Here, we do not assume any monotonicity condition on f(s)/s for $$s>0$$ .

• ##### Existence of solution for a class of problem in whole $$\mathbb {R}^N$$ R N without the Ambrosetti–Rabinowitz condition
manuscripta mathematica, 2020
Co-Authors: Claudianor O Alves, Marco A S Souto
Abstract:

In this paper we study the existence of solution for a class of elliptic problem in whole $$\mathbb {R}^N$$ R N without the well known Ambrosetti–Rabinowitz condition. Here, we do not assume any monotonicity condition on f ( s )/ s for $$s>0$$ s > 0 .

• ##### Existence of solution for a class of problem in whole $\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition.
arXiv: Analysis of PDEs, 2019
Co-Authors: Claudianor O Alves, Marco A S Souto
Abstract:

In this paper we study the existence of solution for a class of elliptic problem in whole $\mathbb{R}^N$ without the well known Ambrosetti-Rabinowitz condition. Here, we do not assume any monotonicity condition on $f(s)/s$ for $s>0$.

• ##### schrodinger poisson equations without ambrosetti Rabinowitz condition
Journal of Mathematical Analysis and Applications, 2011
Co-Authors: Claudianor O Alves, Marco A S Souto, Sergio H M Soares
Abstract:

Abstract We prove the existence of ground state solutions for a stationary Schrodinger–Poisson equation in R 3 . The proof is based on the mountain pass theorem and it does not require the Ambrosetti–Rabinowitz condition.

• ##### Schrödinger–Poisson equations without Ambrosetti–Rabinowitz condition☆
Journal of Mathematical Analysis and Applications, 2011
Co-Authors: Claudianor O Alves, Marco A S Souto, Sergio H M Soares
Abstract:

Abstract We prove the existence of ground state solutions for a stationary Schrodinger–Poisson equation in R 3 . The proof is based on the mountain pass theorem and it does not require the Ambrosetti–Rabinowitz condition.

### Sergio H M Soares - One of the best experts on this subject based on the ideXlab platform.

• ##### schrodinger poisson equations without ambrosetti Rabinowitz condition
Journal of Mathematical Analysis and Applications, 2011
Co-Authors: Claudianor O Alves, Marco A S Souto, Sergio H M Soares
Abstract:

Abstract We prove the existence of ground state solutions for a stationary Schrodinger–Poisson equation in R 3 . The proof is based on the mountain pass theorem and it does not require the Ambrosetti–Rabinowitz condition.

• ##### Schrödinger–Poisson equations without Ambrosetti–Rabinowitz condition☆
Journal of Mathematical Analysis and Applications, 2011
Co-Authors: Claudianor O Alves, Marco A S Souto, Sergio H M Soares
Abstract:

Abstract We prove the existence of ground state solutions for a stationary Schrodinger–Poisson equation in R 3 . The proof is based on the mountain pass theorem and it does not require the Ambrosetti–Rabinowitz condition.

### Jungsoo Kang - One of the best experts on this subject based on the ideXlab platform.

• ##### vanishing of Rabinowitz floer homology on negative line bundles
Mathematische Zeitschrift, 2017
Co-Authors: Peter Albers, Jungsoo Kang
Abstract:

Following Frauenfelder (Rabinowitz action functional on very negative line bundles, Habilitationsschrift, Munich/Munchen, 2008), Albers and Frauenfelder (Bubbles and onis, 2014. arXiv:1412.4360) we construct Rabinowitz Floer homology for negative line bundles over symplectic manifolds and prove a vanishing result. Ritter (Adv Math 262:1035–1106, 2014) showed that symplectic homology of these spaces does not vanish, in general. Thus, the theorem $$\mathrm {SH}=0\Leftrightarrow \mathrm {RFH}=0$$ (Ritter in J Topol 6(2):391–489, 2013), does not extend beyond the symplectically aspherical situation. We give a conjectural explanation in terms of the Cieliebak–Frauenfelder–Oancea long exact sequence Cieliebak et al. (Ann Sci Ec Norm Super (4) 43(6):957–1015, 2010).

• ##### Vanishing of Rabinowitz Floer homology on negative line bundles
Mathematische Zeitschrift, 2016
Co-Authors: Peter Albers, Jungsoo Kang
Abstract:

Following [Fra08, AF14] we construct Rabinowitz Floer homology for negative line bundles over symplectic manifolds and prove a vanishing result. In [Rit14] Ritter showed that symplectic homology of these spaces does not vanish, in general. Thus, the theorem $\mathrm{SH}=0\Leftrightarrow\mathrm{RFH}=0$, [Rit13], does not extend beyond the symplectically aspherical situation. We give a conjectural explanation in terms of the Cieliebak-Frauenfelder-Oancea long exact sequence [CFO10].Comment: 24 page

• ##### kunneth formula in Rabinowitz floer homology
Calculus of Variations and Partial Differential Equations, 2013
Co-Authors: Jungsoo Kang
Abstract:

Rabinowitz Floer homology has been investigated on submanifolds of contact type. The contact condition, however, is quite restrictive. For example, a product of contact hypersurfaces is rarely of contact type. In this article, we study Rabinowitz Floer homology for product manifolds which are not necessarily of contact type. We show for a class of product manifolds that there are infinitely many leafwise intersection points by proving the Kunneth formula for Rabinowitz Floer homology.

• ##### survival of infinitely many critical points for the Rabinowitz action functional
Journal of Modern Dynamics, 2011
Co-Authors: Jungsoo Kang
Abstract:

In this paper, we show that if Rabinowitz Floer homology has infinite dimension, there exist infinitely many critical points of a Rabinowitz action functional even though it could be non-Morse. This result is proved by examining filtered Rabinowitz Floer homology.

• ##### survival of infinitely many critical points for the Rabinowitz action functional
arXiv: Symplectic Geometry, 2010
Co-Authors: Jungsoo Kang
Abstract:

In this paper, we show that if the Rabinowitz Floer homology has infinite dimension, there exist infinitely many critical points of a Rabinowitz action functional even though it could be non-Morse. This result is proved by examining the filtered Rabinowitz Floer homology.