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
Existence results for an elliptic DirichletI problem
Le Matematiche, 2011 The main purpose of this paper is to present recent existence results for an elliptic eigenvalue Dirichlet problem. Precisely, our method ensures the existence of an exactly determined open interval (possibly unbounded) of positive parameters for which ...
Giuseppina D'Aguì +1 more
doaj
On a class of nonlocal nonlinear Schrödinger equations with potential well
Advances in Nonlinear Analysis, 2019 In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the ...
Wu Tsung-fang
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Multiple $\mathbb{S}^{1}$-orbits for the Schrödinger-Newton system [PDF]
arXiv, 2013 We prove existence and multiplicity of symmetric solutions for the \emph{Schr\"odinger-Newton system} in three dimensional space using equivariant Morse theory.
arxiv
Existence of solutions for a nonlinear Choquard equation with potential vanishing at infinity
Advances in Nonlinear Analysis, 2016 We study the following nonlinear Choquard equation:
Alves Claudianor O. +2 more
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A new rearrangement inequality and its application for L^2-constraint minimizing problems [PDF]
arXiv, 2013 We study $L^2$-constraint minimizing problems related to elliptic systems. We introduce a new rearrangement to show $H^1$-precompactness of any minimizing sequences. Some strict inequality for the new rearrangement is obtained. It is a key to exclude the dichotomy of minimizing sequences.
arxiv
Accelerated Optimization in the PDE Framework Formulations for the Active Contour Case. [PDF]
SIAM J Imaging Sci, 2020 Yezzi A, Sundaramoorthi G, Benyamin M.
europepmc +1 more source
A variational inequality of Kirchhoff-type in R N. [PDF]
J Inequal Appl, 2018 Zuo J, An T, Liu W.
europepmc +1 more source
Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems. [PDF]
Springerplus, 2016 Cheng B.
europepmc +1 more source
On a class of N-dimensional anisotropic Sobolev inequalities. [PDF]
J Inequal Appl, 2018 Huang L, Rocha E.
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