Results 31 to 40 of about 514,187 (157)
Solvability of Parametric Elliptic Systems with Variable Exponents
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents.
Ouannasser Anass +1 more
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Existence and Uniqueness of Solutions for the p(x)-Laplacian Equation with Convection Term
Mathematics, 2020 In this paper, we consider the existence and uniqueness of solutions for a quasilinear elliptic equation with a variable exponent and a reaction term depending on the gradient.
Bin-Sheng Wang, Gang-Ling Hou, Bin Ge
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Axioms, 2023 In this paper, we design two inertial-type subgradient extragradient algorithms with the linear-search process for resolving the two pseudomonotone variational inequality problems (VIPs) of and the common fixed point problem (CFPP) of finite Bregman ...
Cong-Shan Wang +5 more
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Multiple solutions of nonlinear elliptic functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We shall consider weak solutions of boundary value problems for elliptic functional differential equations of the form $$ -\sum_{j=1}^nD_j[a_j(x,u,Du;u)]+a_0(x,u,Du;u)=F,\qquad x\in \Omega $$ with homogeneous boundary conditions, where $\Omega \subset ...
László Simon
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Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem
Advances in Nonlinear Analysis, 2019 The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.
Guibé Olivier +3 more
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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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Gradient and Parameter Dependent Dirichlet (p(x),q(x))-Laplace Type Problem
Mathematics, 2022 We analyze a Dirichlet (p(x),μq(x))-Laplace problem. For a gradient dependent nonlinearity of Carathéodory type, we discuss the existence, uniqueness and asymptotic behavior of weak solutions, as the parameter μ varies on the non-negative real axis.
Kholoud Saad Albalawi +2 more
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On Iterative Regularization Methods for Variational Inequalities of the Second Kind with Pseudomonotone Operators [PDF]
Computational Methods in Applied Mathematics, 2003 Abstract Variational inequalitiy of the second kind in the Banach or Hilbert space is considered. A ”semi-implicit” iterative method for its solution is studied.
Badriev, I. B. +2 more
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A-priori bounds and existence for solutions of weighted elliptic equations with a convection term
Advances in Nonlinear Analysis, 2017 We investigate weighted elliptic equations containing a convection term with variable exponents that are subject to Dirichlet or Neumann boundary condition.
Ho Ky, Sim Inbo
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Advances in Difference Equations, 2021 This paper provides iterative construction of a common solution associated with the classes of equilibrium problems (EP) and split convex feasibility problems.
Yasir Arfat +4 more
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