Results 21 to 30 of about 4,806,779 (356)
Weak solvability of nonlinear elliptic equations involving variable exponents [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2022 We are concerned with the study of the existence and multiplicity of solutions for Dirichlet boundary value problems, involving the \begin{document}$ ( p( m ), \, q( m ) )- $\end{document} equation and the nonlinearity is superlinear but does not fulfil ...
A. Aberqi +3 more
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Recovering a variable exponent
Documenta Mathematica, 2021 We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent p(x) -Laplace equation from the Dirichlet-to-Neumann map. The variable exponent can be recovered up to the natural obstruction of rearrangements.
Brander, Tommi, Siltakoski, Jarkko
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On the structure of variable exponent spaces [PDF]
Indagationes Mathematicae, 2020 The first part of this paper surveys several results on the lattice structure of variable exponent Lebesgue function spaces (or Nakano spaces) $\lpv$. In the second part strictly singular and disjointly strictly singular operators between spaces $\lpv$ are studied.
Julio Flores +3 more
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Mixed Sobolev-like inequalities in Lebesgue spaces of variable exponents and in Orlicz spaces [PDF]
Positivity (Dordrecht), 2021 In this short article we show a particular version of the Hedberg inequality which can be used to derive, in a very simple manner, functional inequalities involving Sobolev and Besov spaces in the general setting of Lebesgue spaces of variable exponents ...
D. Chamorro
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Journal of Mathematics, 2023 In this paper, a new pseudoparabolic equation with logarithmic nonlinearity of variable exponents is investigated. By using the energy functional and the classical potential well, we obtain the global existence and blow-up results of weak solutions with ...
Rongting Pan, Yunzhu Gao, Qiu Meng
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Nonlinear elliptic equations with variable exponents involving singular nonlinearity [PDF]
Mathematical Modeling and Computing, 2021 In this paper, we prove the existence and regularity of weak positive solutions for a class of nonlinear elliptic equations with a singular nonlinearity, lower order terms and L1 datum in the setting of Sobolev spaces with variable exponents.
H. Khelifi, Y. Hadfi
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An eigenvalue problem with variable exponents [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2013 A highly nonlinear eigenvalue problem is studied in a Sobolev space with variable exponent. The Euler-Lagrange equation for the minimization of a Rayleigh quotient of two Luxemburg norms is derived. The asymptotic case with a "variable infinity" is treated. Local uniqueness is proved for the viscosity solutions.
FRANZINA, GIOVANNI, Lindqvist, Peter
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AIMS Mathematics, 2022 In this work, we consider a viscoelastic wave equation with boundary damping and variable exponents source term. The damping terms and variable exponents are localized on a portion of the boundary.
Adel M. Al-Mahdi +3 more
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Variable exponent Fock spaces [PDF]
Czechoslovak Mathematical Journal, 2019 In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.
Gerardo R. Chacón, Gerardo A. Chacon
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Minimization of quotients with variable exponents [PDF]
Journal of Differential Equations, 2018 Let $ $ be a bounded domain of $\mathbb{R}^{N}$, $p\in C^{1}(\overline ),$ $q\in C(\overline )$ and $l,j\in\mathbb{N}.$ We describe the asymptotic behavior of the minimizers of the Rayleigh quotient $\frac{\Vert\nabla u\Vert_{lp(x)}}{\Vert u\Vert_{jq(x)}}$, first when $j\rightarrow\infty$ and after when $l\rightarrow\infty.$
C.O. Alves +2 more
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