Results 1 to 10 of about 42 (40)
Advanced Nonlinear Studies, 2021 Through conformal map, isoperimetric inequalities are equivalent to the Hardy–Littlewood–Sobolev (HLS) inequalities involved with the Poisson-type kernel on the upper half space.
Tao Chunxia
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Alexandria Engineering Journal, 2022 The aim of this work is to give some fixed point results based on the technique of measure of noncompactness which extend the classical Darbo’s theorem.
Anupam Das +3 more
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Reversed Hardy-Littlewood-Sobolev inequalities with weights on the Heisenberg group
Advances in Nonlinear Analysis, 2023 In this article, we establish some reverse weighted Hardy-Littlewood-Sobolev inequalities on the Heisenberg group. We then show the existence of extremal functions for the above inequalities by combining the subcritical approach and the renormalization ...
Hu Yunyun
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Open Mathematics, 2022 The control systems described by the Urysohn-type integral equations and integral constraints on the control functions are considered. The functions from the closed ball of the space Lp{L}_{p}, p>1,p\gt 1, with radius rr, are chosen as admissible control
Huseyin Anar
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Positive solutions for a second-order p-Laplacian impulsive boundary value problem [PDF]
, 2012 In this work, we study the existence and multiplicity of positive solutions for a second-order p-Laplacian boundary value problem involving impulsive effects.
Donal O’Regan +3 more
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Advanced Nonlinear Studies, 2020 In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
Lu Guozhen, Shen Yansheng
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Quasilinear Riccati-Type Equations with Oscillatory and Singular Data
Advanced Nonlinear Studies, 2020 We characterize the existence of solutions to the quasilinear Riccati-type ...
Nguyen Quoc-Hung, Phuc Nguyen Cong
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 27, Page 1403-1422, 2004., 2004 We obtain optical vortices with classical orbital momentum ℓ = 1 and spin j = ±1/2 as exact solutions of a system of nonlinear Maxwell equations (NMEs). Two kinds of Kerr‐type media, namely, those with and without linear dispersion of the electric and the magnet susceptibility, are investigated.
Lubomir M. Kovachev
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SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS
Forum of Mathematics, Sigma, 2018 We consider a broad class of systems of nonlinear integro-differential equations posed on the real line that arise as Euler–Lagrange equations to energies involving nonlinear nonlocal interactions.
BENTE BAKKER, ARND SCHEEL
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Reverse Stein–Weiss Inequalities on the Upper Half Space and the Existence of Their Extremals
Advanced Nonlinear Studies, 2019 The purpose of this paper is four-fold. First, we employ the reverse weighted Hardy inequality in the form of high dimensions to establish the following reverse Stein–Weiss inequality on the upper half space:
Chen Lu, Lu Guozhen, Tao Chunxia
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