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On some singular problems involving the fractional p(x,.) -Laplace operator

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2 Published in 2021 at "Applicable Analysis"

DOI: 10.1080/00036811.2021.1950693

Abstract: The purpose of the present paper is to study the existence of solutions for the following nonhomogeneous singular problem involving the fractional p(x,.)-Laplace operator {(−Δ)p(x,.)su+|u|q(x)−2u=g... read more here.

Keywords: laplace operator; involving fractional; fractional laplace; singular problems ... See more keywords

Basis Property of the System of Root Functions of the Oblique Derivative Problem for the Laplace Operator in a Disk

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1 Published in 2019 at "Differential Equations"

DOI: 10.1134/s0012266119100100

Abstract: We study the spectral oblique derivative problem for the Laplace operator in a disk D. The asymptotic properties of the eigenvalues are established, and the basis property with parentheses in the space L2(D) is proved… read more here.

Keywords: operator disk; laplace operator; oblique derivative; problem laplace ... See more keywords

Optical computation of the Laplace operator at oblique incidence using a multilayer metal-dielectric structure.

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2 Published in 2023 at "Optics express"

DOI: 10.1364/oe.489750

Abstract: We investigate the possibility of the optical computation of the Laplace operator in the oblique incidence geometry using a layered structure consisting of a set of homogeneous thin films. For this, we develop a general… read more here.

Keywords: laplace operator; computation laplace; oblique incidence; structure ... See more keywords

Perturbation results involving the 1-Laplace operator

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0 Published in 2017 at "Advances in Calculus of Variations"

DOI: 10.1515/acv-2017-0006

Abstract: Abstract We consider perturbed eigenvalue problems of the 1-Laplace operator and verify the existence of a sequence of solutions. It is shown that the eigenvalues of the perturbed problem converge to the corresponding eigenvalue of… read more here.

Keywords: perturbation results; results involving; laplace operator; involving laplace ... See more keywords