Results 41 to 50 of about 636 (88)

A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity

Open Mathematics
This article considers existence of solution for a class of fractional Schrödinger-Poisson system. By using the Nehari method and the variational method, we obtain a uniqueness result for positive solutions.
Wang Li, Chen Renhua, Zhong Qiaocheng, Wang Jun, Li Fang   +4 more
doaj   +1 more source

The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term

Advanced Nonlinear Studies, 2021
In this paper we deal with positive singular solutions to semilinear elliptic problems involving a first-order term and a singular nonlinearity. Exploiting a fine adaptation of the well-known moving plane method of Alexandrov–Serrin and a careful choice ...
Esposito Francesco, Sciunzi Berardino
doaj   +1 more source

On the leading term of the eigenvalue variation for Aharonov-Bohm operators with a moving pole

, 2015
We study the behavior of eigenvalues for magnetic Aharonov-Bohm operators with half-integer circulation and Dirichlet boundary conditions in a planar domain. We analyse the leading term in the Taylor expansion of the eigenvalue function as the pole moves
Abatangelo, Laura, Felli, Veronica
core   +1 more source

Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data

Advanced Nonlinear Studies, 2021
This paper establishes pointwise estimates up to boundary for the gradient of weak solutions to a class of very singular quasilinear elliptic equations with mixed ...
Do Tan Duc, Truong Le Xuan, Trong Nguyen Ngoc   +2 more
doaj   +1 more source

Singular Limits for 4-Dimensional General Stationary Q-Kuramoto-Sivashinsky Equation (Q-Kse) with Exponential Nonlinearity

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Let Ω be a bounded domain in with smooth boundary, and let 𝓧1; 𝓧2; · · ·, 𝓧m be points in Ω. We are concerned with the singular stationary non-homogenous q-Kuramoto-Sivashinsky eaquation (q-KSE:
Ouni Taieb, Baraket Sami, Khtaifi Moufida   +2 more
doaj   +1 more source

A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
doaj   +1 more source

Boundary behavior for a singular quasi-linear elliptic equation [PDF]

arXiv, 2012
In a smooth bounded domain we obtain existence, uniqueness, regularity and boundary behavior for a class of singular quasi-linear elliptic equations.
arxiv  

Increasing variational solutions for a nonlinear $p$-laplace equation without growth conditions [PDF]

arXiv, 2010
By means of a recent variational technique, we prove the existence of radially monotone solutions to a class of nonlinear problems involving the $p$-Laplace operator. No subcriticality condition (in the sense of Sobolev spaces) is required.
arxiv  

Generalized Elliptic Integrals and Applications [PDF]

arXiv, 2013
We use some general properties, presented in previous work, to evaluate special cases of integrals relating Rogers-Ramanujan continued fraction, eta function and elliptic integrals.
arxiv  

Positive solutions for a class of quasilinear singular elliptic systems [PDF]

arXiv, 2016
In this paper we establish the existence of two positive solutions for a class of quasilinear singular elliptic systems. The main tools are sub and supersolution method and Leray-Schauder Topological degree.
arxiv