Results 61 to 70 of about 772 (98)
Weighted inequalities and Stein-Weiss potentials [PDF]
arXiv, 2006 Sharp extensions of Pitt's inequality and bounds for Stein-Weiss fractional integrals are obtained that incorporate gradient forms and vector-valued operators. Such results include Hardy-Rellich inequalities.
arxiv
Advanced Nonlinear Studies, 2021 We study the asymptotic profile, as ℏ→0{\hbar\rightarrow 0}, of positive solutions ...
Cassani Daniele, Wang Youjun
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Orbital stability of standing wave solution for a quasilinear Schrödinger equation [PDF]
arXiv, 2007 Via minimization arguments and Concentration Compactness Principle, we prove the orbital stability of standing wave solutions for a class of quasilinear Schr\"{o}dinger equation arising from physics.
arxiv
Variational eigenvalues of a quasilinear subelliptic equation [PDF]
arXiv, 2023 We use a well-known Lusternik-Schnirelman theory to prove the existence of a nondecreasing sequence of variational eigenvalues for the subelliptic $p$-Laplacian subject to the Dirichlet boundary conditon.
arxiv
Incompressible, quasi-rigid deformations of 2-dimensional domains [PDF]
arXiv, 2007 his paper proposes a sensible definition of a deformation metric between 2-dimensional surfaces obtained from each other by an area preserving (incompressible) mapping, and an algorithm for obtaining this metric, as well as the optimal deformation.
arxiv
On the symmetry of minimizers in constrained quasi-linear problems [PDF]
arXiv, 2010 We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.
arxiv
On Ekeland's variational principle [PDF]
arXiv, 2010 For proper lower semi-continuous functionals bounded below which do not increase upon polarization, an improved version of Ekeland's variational principle can be formulated in Banach spaces, which provides almost symmetric points.
arxiv
On a result by Boccardo-Ferone-Fusco-Orsina [PDF]
arXiv, 2011 Via a symmetric version of Ekeland's principle recently obtained by the author we improve, in a ball or an annulus, a result of Boccardo-Ferone-Fusco-Orsina on the properties of minimizing sequences of functionals of calculus of variations in the non-convex setting.
arxiv
Singular Fractional Choquard Equation with a Critical Nonlinearity and a Radon measure [PDF]
arXiv, 2020 This article concerns about the existence of a positive SOLA (Solutions Obtained as Limits of Approximations) for the following singular critical Choquard problem involving fractional power of Laplacian and a critical Hardy potential.
arxiv
The pseudorelativistic Hartree equation with a general nonlinearity: existence, non existence and variational identities [PDF]
arXiv, 2012 We prove several existence and non existence results of solitary waves for a class of nonlinear pseudo-relativistic Hartree equations with general nonlinearities. We use variational methods and some new variational identities involving the half Laplacian.
arxiv