Results 261 to 270 of about 5,632,634 (320)
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Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents

Annali di Matematica Pura ed Applicata, 2022
A Bourgain–Brezis–Mironescu-type theorem for fractional Sobolev spaces with variable exponents is established for sufficiently regular functions. We prove, however, that a limiting embedding theorem for these spaces fails to hold in general.
Minhyun Kim
semanticscholar   +1 more source

Constant sign solutions for double phase problems with variable exponents

Applied Mathematics Letters, 2022
. In this paper we study quasilinear elliptic equations driven by the variable exponent double phase operator and a right-hand side that contains a parametric term and a superlinear perturbation with a growth that need not necessarily be polynomial ...
F. Vetro, Patrick Winkert
semanticscholar   +1 more source

Gradient Estimates of ω-Minimizers to Double Phase Variational Problems with Variable Exponents

, 2021
We are concerned with an optimal regularity for ω-minimizers to double phase variational problems with variable exponents where the associated energy density is allowed to be discontinuous. We identify basic structure assumptions on the density for the
Sun-Sig Byun, Ho-Sik Lee
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Boundedness of fractional maximal operators for double phase functionals with variable exponents

Journal of Mathematical Analysis and Applications, 2021
In this paper, we study the boundedness of variable fractional maximal operators M τ ( ⋅ ) for double phase functionals Φ p ( ⋅ ) , q ( ⋅ ) ( x , t ) = t p ( x ) + ( b ( x ) t ) q ( x ) , where τ ( ⋅ ) is a measurable function on R N satisfying 0 ≤ inf x
Y. Mizuta, T. Ohno, T. Shimomura
semanticscholar   +1 more source

Variable exponent functionals in image restoration

Applied Mathematics and Computation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang Li, Zhibin Li, Ling Pi
openaire   +2 more sources

Timoshenko beams with variable‐exponent nonlinearity

Mathematical Methods in the Applied Sciences, 2023
In this paper, we consider the following Timoshenko system with a nonlinear feedback having a variable exponent and a time‐dependent coefficient . We establish, for the first time as per our knowledge, explicit energy decay rates for this system depending on both and .
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On the existence and stability of a nonlinear wave system with variable exponents

Asymptotic Analysis, 2021
Problems with variable exponents have attracted a great deal of attention lately and various existence, nonexistence and stability results have been established.
S. Messaoudi   +3 more
semanticscholar   +1 more source

Extrapolation to weighted Morrey spaces with variable exponents and applications

Proceedings of the Edinburgh Mathematical Society, 2021
This paper establishes the mapping properties of pseudo-differential operators and the Fourier integral operators on the weighted Morrey spaces with variable exponents and the weighted Triebel–Lizorkin–Morrey spaces with variable exponents.
K. Ho
semanticscholar   +1 more source

Variable Exponent Herz Spaces

Mediterranean Journal of Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Blow‐up and decay of solutions for a viscoelastic Kirchhoff‐type equation with distributed delay and variable exponents

Mathematical methods in the applied sciences
In this article, we focussed on a nonlinear viscoelastic Kirchhoff‐type equation with distributed delay and variable‐exponents. The blow‐up solutions of the problem are proved under suitable hypothesis, and by using an integral inequality due to Komornik,
A. Choucha   +3 more
semanticscholar   +1 more source

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