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Miyagaki, F. Pereira, M. Squassina and C. Zhang, The Brezis—Nirenberg problem for nonlocal systems, Adv. Tasi and H. Yau, On a classical limit of quantum theory and the non-linear Hartree eqution, Visions in Mathematics. Alon, J. Bourgain, A.

Connes, M. Gromov, V. Milman, eds. Yau, On the point-particle Newtonian limit of the non-linear Hartree equation, Commun.

An International Journal

Ghimenti and J. Schaftingen, Nodal solutions for the Choquard equation, J. Ghimenti, V. Moroz and J.

Advanced Nonlinear Studies

Schaftingen, Least action nodal solutions for the quadratic Choquard equation, Proc. Giacomoni, P. Mishra and K. Sreenadh, Critical growth fractional elliptic systems with exponential nonlinearity, Nonlinear Anal. Sreenadh, Fractional elliptic systems with exponential nonlinearity, Nonlinear Anal. Goyal, Multiplicity results of fractional p-Laplace equations with sign-changing and singular nonlinearity, Complex Var.

Elliptic Equ. Goyal and K. Sreenadh, Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function, Adv. Guo, S. Luo and W. Zou, On critical systems involving frcational Laplacian, J. He, M. Squassina and W.

structure Sec.1 - Section properties

Zou, The Nehari manifold for fractional systems involving critical nonlinearities, Comm. Iannizzotto, S. Liu, K. Perera and M. Squassina, Existence results for fractional p-Laplacian problems via Morse theory, Adv. Mosconi and M. Iannizzotto and M.

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Squassina, Weyl-type laws for fractional p-eigenvalue problems, Asymptot. Lieb and M.


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Molica Bisci and V. Servadei, Variational methods for nonlocal fractional problems, with a foreword by Jean Mawhin. Encyclopedia of Mathematics and its Applications, Vol. Schaftingen, Groundstates of nonlinear Choquard equations: Existence, qualitative properties and decay asymptotics, J. Schaftingen, Existence of groundstates for a class of nonlinear Choquard equations, Trans.

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Schaftingen, Semi-classical states for the Choquard equation, Calc. Mukherjee and K. Servadei, The Yamabe equation in a non-local setting, Adv. Servadei, A critical fractional Laplace equation in the resonant case, Topol. Methods Nonlinear Anal. Servadei and E.

A stochastic approach is proposed to this end, based Wet muck entry is one of the major geotechnical risks associated with long-term production goals in cave mining. The objective of this research is to quantify the effect of the main risk variables related to wet muck entry Given a one-factorization F of the complete bipartite graph Kn;n, let pf F de- note the number of Hamiltonian cycles obtained by taking pairwise unions of perfect matchings in F. Let pf n be the maximum of pf F over We provide various counter examples for quantitative multiple recurrence problems for systems with more than one transformation.

We study a class of one-dimensional particle systems with true Bird type binary interactions, which includes Kac's model of the Boltzmann equation and nonlinear equations for the evolution of wealth distribution arising We prove propagation of chaos at explicit polynomial rates in Wasserstein distance for Kac's N-particle system associated with the spatially homogeneous Boltzmann equation for Maxwell molecules. Our approach is mainly based American Physical Society , We study the quantum spin waves associated to skyrmion textures.

We show that the zero-point energy associated to the quantum spin fluctuations of a noncollinear spin texture produce Casimir-like magnetic fields. We study We calculate the effect of spin waves on the properties of finite-size spin chains with a chiral spin ground state observed on biatomic Fe chains deposited on iridium The system is described with a Heisenberg model We calculate the electrical conductivity of a metallic sample under the effects of distributed impurities and a random distribution of grain boundaries by means of a quantum mechanical procedure based on Kubo formula.

Quasar environment in the context of large-scale structure at z similar to 0. We look at quasar environment in the context of large-scale structure LSS — a new approach, giving a more informed interpretation of quasar—galaxy correlations. This paper presents our first results for a sample of z We consider two optimization problems in planar graphs.