Results 21 to 30 of about 163,164 (293)
Existence of beam-equation solutions with strong damping and p(x)-biharmonic operator
Mathematica Moravica, 2022 In this paper, we consider a nonlinear beam equation with a strong damping and the p(x)-biharmonic operator. The exponent p(·) of nonlinearity is a given function satisfying some condition to be specified. Using Faedo-Galerkin method, the local and global existence of weak solutions is established with mild assumptions on the variable exponent p ...
Ferreira Jorge +3 more
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Multiple solutions for a nonlocal elliptic problem involving \((p(x), q(x))\)-biharmonic operator [PDF]
Journal of Mathematics, 2021 Summary: In this paper, using the variational principle, the existence and multiplicity of solutions for \((p(x), q(x))\)-Kirchhoff type problem with Navier boundary conditions are proved. At the same time, the sufficient conditions for the multiplicity of solutions are obtained.
Qi Zhang, Qing Miao
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A natural space of functions for the Ruelle operator theorem [PDF]
, 2007 We study a new space, $R(X)$, of real-valued continuous functions on the space $X$ of sequences of zeros and ones. We show exactly when the Ruelle operator theorem holds for such functions.
Walters, Peter
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Algebraic reflexivity of isometry groups and automorphism groups of some operator structures [PDF]
, 2013 We establish the algebraic re exivity of three isometry groups of operator structures: The group of all surjective isometries on the unitary group, the group of all surjective isometries on the set of all positive invertible operators equipped with ...
Botelho, Fernanda +2 more
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Existence of solutions for a boundary problem involving p(x)-biharmonic operator
Boletim da Sociedade Paranaense de Matemática, 2012 In this paper, we establish the existence of at least three solutions to a boundary problem involving the p(x)-biharmonic operator. Our technical approach is based on theorem obtained by B. Ricceri's variational principale and local mountain pass theorem without (Palais.Smale) condition.
Abdel Rachid El Amrouss, Anass Ourraoui
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Zurnal matematiceskoj fiziki, analiza, geometrii, 2022 Summary: In this paper, we consider a nonlinear beam equation with a strong damping and the \(p(x)\)-biharmonic operator. The exponent \(p ( \cdot )\) of nonlinearity is a given function satisfying some condition to be specified. Applying Faedo-Galerkin's method, the existence of weak solutions is proved. Using Nakao's lemma, the asymptotic behavior of
Ferreira, Jorge +4 more
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The spectrum of the force-based quasicontinuum operator for a homogeneous periodic chain [PDF]
, 2012 We show under general conditions that the linearized force-based quasicontinuum (QCF) operator has a real, positive spectrum. The spectrum is identical to that of the quasinonlocal quasicontinuum (QNL) operator in the case of second-neighbor interactions.
Ortner, C. +4 more
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Solutions of nonlinear problems involving p(x)-Laplacian operator
Advances in Nonlinear Analysis, 2015 In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian.
Yücedağ Zehra
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Boundary Value Problems, 2019 We obtain multiplicity and uniqueness results in the weak sense for the following nonhomogeneous quasilinear equation involving the p(x) $p(x)$-Laplacian operator with Dirichlet boundary condition: −Δp(x)u+V(x)|u|q(x)−2u=f(x,u)in Ω,u=0 on ∂Ω, $$ -\Delta ...
Aboubacar Marcos, Aboubacar Abdou
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(r,p)-absolutely summing operators on the space C (T,X) and applications
Abstract and Applied Analysis, 2001 We give necessary and sufficient conditions for an operator on the space C (T,X) to be (r,p)-absolutely summing. Also we prove that the injective tensor product of an integral operator and an (r,p)-absolutely summing operator is an (r,p)-absolutely ...
Dumitru Popa
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