Results 61 to 70 of about 150 (124)

A range and existence theorem for pseudomonotone perturbations of maximal monotone operators [PDF]

Proceedings of the American Mathematical Society, 2010
In this paper, we prove a range and existence theorem for multivalued pseudomonotone perturbations of maximal monotone operators. We assume a general coercivity condition on the sum of a maximal monotone and a pseudomonotone operator instead of a condition on the pseudomonotone operator only.
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Boundedness, existence and uniqueness results for coupled gradient dependent elliptic systems with nonlinear boundary condition

Advances in Nonlinear Analysis
In this paper, we study coupled elliptic systems with gradient dependent right-hand sides and nonlinear boundary conditions, where the left-hand sides are driven by so-called double phase operators.
Frisch Michal Maria, Winkert Patrick
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Existence of solutions to quasilinear elliptic equations in the Musielak–Orlicz–Sobolev spaces for unbounded domains

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The paper considers the existence of solutions of the Dirichlet problem for nonlinear elliptic equations of the second order in unbounded domains. Restrictions on the structure of quasilinear equations are formulated in terms of a special class of convex
Larisa Mikhailovna Kozhevnikova, Anastasiya Pavlovna Kashnikova   +1 more
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Existence Theorems on Solvability of Constrained Inclusion Problems and Applications

Abstract and Applied Analysis, 2018
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be a maximal monotone operator and C:X⊇D(C)→X⁎ be bounded and continuous with D(T)⊆D(C).
Teffera M. Asfaw
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Existence and boundedness of solutions for anisotropic quasilinear elliptic equations with convection and unbounded coefficients

Boundary Value Problems
This paper investigates a class of anisotropic quasilinear elliptic equations involving convection terms and unbounded coefficients in a bounded domain.
Abdolrahman Razani, Sami Baraket
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A class of nonlinear variational inequalities involvingpseudomonotone operators [PDF]

International Journal of Stochastic Analysis, 1999
We present the solvability of a class of nonlinear variational inequalities involving pseudomonotone operators in a locally convex Hausdorff topological vector spaces setting. The obtained result generalizes similar variational inequality problems on monotone operators.
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Existence of extremal periodic solutions for quasilinear parabolic equations

Abstract and Applied Analysis, 1997
In this paper we consider a quasilinear parabolic equation in a bounded domain under periodic Dirichlet boundary conditions. Our main goal is to prove the existence of extremal solutions among all solutions lying in a sector formed by appropriately ...
Siegfried Carl
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An iterative method for solving split variational inclusion problem and variational inequality problem constrained by a common fixed point problem

Journal of Inequalities and Applications
In this paper, combining double inertial technique and viscosity technique, we construct a new iterative algorithm for finding the common solution of split variational inclusion problem and pseudomonotone variational inequality problem constrained by a ...
Yali Zhao, Peitong Tian, Di Wu
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Positive solutions for a degenerate p-Kirchhoff problem with singular and sublinear nonlinearities

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we study the following $p$-Kirchhoff-type elliptic problem: \begin{equation*} \begin{cases}%{ll} -M\left(\displaystyle\int_{\Omega}\vert \nabla u\vert^{p}\right)\displaystyle\mathrm{div}\left(\vert\nabla u\vert^{p-2}\nabla u\right ...
Rezak Souilah, Hocine Ayadi
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Dynamic contact with Signorini's condition and slip rate dependent friction

Electronic Journal of Differential Equations, 2004
Existence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition.
Kenneth Kuttler, Meir Shillor
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