Results 21 to 30 of about 486 (163)
In this article, we deal with the nonlocal elliptic problems of the Kirchhoff type involving the Hardy potential and critical nonlinearity on a bounded domain in R3. Under an appropriate condition on the nonhomogeneous term and using variational methods, we obtain two distinct solutions.
M. E. O. El Mokhtar +3 more
wiley +1 more source
Critical Fractional p‐Laplacian System with Negative Exponents
In this paper, we consider a class of fractional p‐Laplacian problems with critical and negative exponents. By decomposition of the Nehari manifold, the existence and multiplicity of nontrivial solutions for the above problems are established with respect to a sufficiently small parameter.
Qinghao Zhu, Jianming Qi, Baowei Feng
wiley +1 more source
Ekeland's Variational Principle for Set-Valued Functions [PDF]
The authors extend Ekeland's variational principle to the case of set-valued mappings by using a set of directions and some particular partial orders related to it. Then, as an application they establish some sufficient conditions for the existence of an error bound of a finite system of inequalities of lower semicontinuous functions on a Banach space.
Liu, C. G., Ng, K. F.
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Abstract How and when does engagement with a stigmatized organization lead to the transfer of its stigma to organizations and individuals associating with it? To answer this question, we conduct an inductive study of the process of stigma transfer and the conditions determining social actors’ susceptibility to such courtesy stigma. We build our process
Gro Kvåle, Zuzana Murdoch
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On the demand for telemedicine: Evidence from the COVID‐19 pandemic
Abstract Telemedicine can expand access to health care at relatively low cost. Historically, however, demand for telemedicine has remained low. Using administrative records and a difference‐in‐differences methodology, we estimate the change in demand for telemedicine experienced after the onset of the COVID‐19 epidemic and the imposition of mobility ...
Matias Busso +2 more
wiley +1 more source
We are concerned with the following nonlocal problem involving critical Sobolev exponent −a−b∫Ω∇u2dxΔu=λuq−2u+δu2u,x∈Ω,u=0,x∈∂Ω, where Ω is a smooth bounded domain in ℝ4, a, b > 0, 1 < q < 2, δ, and λ are positive parameters. We prove the existence of two positive solutions and obtain uniform estimates of extremal values for the problem.
Zhigao Shi, Xiaotao Qian, Simone Secchi
wiley +1 more source
On Ekeland’s variational principle [PDF]
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.
openaire +4 more sources
In this paper, we establish a generalization of the Galewski‐Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces. Moreover, we derive, under suitable conditions, a series of results on the existence, uniqueness, and possible continuity of global ...
Guy Degla +3 more
wiley +1 more source
Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities [PDF]
A nonlinear Schr\"odinger equation (NLS) with dispersion averaged nonlinearity of saturated type is considered. Such a nonlocal NLS is of integro-differential type and it arises naturally in modeling fiber-optics communication systems with periodically ...
Hundertmark, Dirk +3 more
core +3 more sources
Existence of Two Solutions for a Critical Elliptic Problem with Nonlocal Term in ℝ4
In this paper, we prove the existence of two positive solutions for a critical elliptic problem with nonlocal term and Sobolev exponent in dimension four.
Khadidja Sabri +4 more
wiley +1 more source

