Results 1 to 10 of about 163,164 (293)
On a fourth order elliptic problem with a p(x)-biharmonic operator
Applied Mathematics Letters, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lingju Kong
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Multiple Solutions for Nonlocal Elliptic Systems Involving p(x)-Biharmonic Operator [PDF]
Mathematics, 2019 This paper analyzes the nonlocal elliptic system involving the p(x)-biharmonic operator. We give the corresponding variational structure of the problem, and then by means of Ricceri’s Variational theorem and the definition of general Lebesgue-Sobolev space, we obtain sufficient conditions for the infinite solutions to this problem.
Qing Miao
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The existence of solutions for the modified $(p(x),q(x))$-Kirchhoff equation
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We consider the Dirichlet problem \begin{equation*} - \Delta^{K_p}_{p(x)} u(x) - \Delta^{K_q}_{q(x)} u(x) = f(x,u(x), \nabla u(x)) \quad \mbox{in }\Omega, \quad u\big{|}_{\partial \Omega}=0, \end{equation*} driven by the sum of a $p(x ...
Giovany Figueiredo, Calogero Vetro
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Boundary Value Problems, 2022 We study the existence and multiplicity of weak solutions for an elliptic problem involving p ( x ) $p(x)$ -Laplacian operator under Steklov boundary condition. The approach is based on variational methods.
A. Khaleghi, A. Razani
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The infimum eigenvalue for degenerate p(x)-biharmonic operator with the Hardy potentiel
Boletim da Sociedade Paranaense de Matemática, 2022 The aim of this article is to study the existence of at least one unbounded nondecreasing sequence of nonnegative eigenvalues (λk)k≥1 for a class of elliptic Navier boundary value problems involving the degenerate p(·)-biharmonic operator with q(x)-Hardy inequality by using the variational technique based on the Ljusternik-Schnirelmann theory on C1 ...
Adnane Belakhdar +3 more
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Solutions to p(x)-Laplace type equations via nonvariational techniques [PDF]
Opuscula Mathematica, 2018 In this article, we consider a class of nonlinear Dirichlet problems driven by a Leray-Lions type operator with variable exponent. The main result establishes an existence property by means of nonvariational arguments, that is, nonlinear monotone ...
Mustafa Avci
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Multiple solutions for nonlocal elliptic problems driven by $ p(x) $-biharmonic operator
AIMS Mathematics, 2021 In this article, we study the existence of at least three distinct weak solutions for nonlocal elliptic problems involving p(x)-biharmonic operator. The results are obtained by means of variational methods. We also provide an example in order to illustrate our main abstract results. We extend and improve some recent results.
Fang-Fang Liao +2 more
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Mixed finite element method for a beam equation with the p(x)-biharmonic operator
Computers & Mathematics with Applications, 2023 In this paper, we consider a nonlinear beam equation with the p-biharmonic operator, where $1 < p < \infty$. Using a change of variable, we transform the problem into a system of differential equations and prove the existence, uniqueness and regularity of the weak solution by applying the Lax-Milgram theorem and classical results of functional ...
Rui M. P. Almeida +3 more
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Transformation operators for impedance Sturm–Liouville operators on the line
Математичні Студії, 2023 In the Hilbert space $H:=L_2(\mathbb{R})$, we consider the impedance Sturm--Liouville operator $T:H\to H$ generated by the differential expression $ -p\frac{d}{dx}{\frac1{p^2}}\frac{d}{dx}p$, where the function $p:\mathbb{R}\to\mathbb{R}_+$ is of ...
M. Kazanivskiy +2 more
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Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator
Moroccan Journal of Pure and Applied Analysis, 2022 In this work, we are concerned with a generalized Steklov problem with (p(x), q(x))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s ...
Karim Belhadj +3 more
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