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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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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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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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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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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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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Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kien, Bui Trong +2 more
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Ranges of densely defined generalized pseudomonotone perturbations of maximal monotone operators
Journal of Differential Equations, 2003 In a reflexive Banach space, the authors obtain a general ``ranges of sums'' result involving a maximal monotone operator \(A\) and a densely defined finitely continuous quasibounded generalized pseudomonotone operator \(B\). This result improves [\textit{F. E. Browder}, J. Funct. Anal.
Guan, Z. +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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