Results 61 to 70 of about 514,187 (157)

Nonhomogeneous Dirichlet Problems with Unbounded Coefficient in the Principal Part

Axioms, 2022
The main result of the paper establishes the existence of a bounded weak solution for a nonlinear Dirichlet problem exhibiting full dependence on the solution u and its gradient ∇u in the reaction term, which is driven by a p-Laplacian-type operator with
Dumitru Motreanu
doaj   +1 more source

Existence and uniqueness of elliptic systems with double phase operators and convection terms

, 2020
In this paper we study quasilinear elliptic systems driven by so-called double phase operators and nonlinear right-hand sides depending on the gradients of the solutions.
Marino, Greta, Winkert, Patrick
core   +1 more source

A self-adaptive inertial extragradient method for a class of split pseudomonotone variational inequality problems

Open Mathematics, 2023
In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned ...
Owolabi Abd-Semii Oluwatosin-Enitan, Alakoya Timilehin Opeyemi, Mewomo Oluwatosin Temitope   +2 more
doaj   +1 more source

Strong convergence of a proximal-type algorithm for an occasionally pseudomonotone operator in Banach spaces [PDF]

Fixed Point Theory and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pathak, Hemant, Cho, Yeol
openaire   +1 more source

Split equality variational inequality problems for pseudomonotone mappings in Banach spaces

, 2021
A new algorithm for approximating solutions of the split equality variational inequality problems (SEVIP) for pseudomonotone mappings in the setting of Banach spaces is introduced. Strong convergence of the sequence generated by the proposed algorithm to
BOIKANYO, Oganeditse A., ZEGEYE, Habtu
core   +1 more source

Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems

Abstract and Applied Analysis, 2015
Let X be a real locally uniformly convex reflexive separable Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗ be maximal monotone and S:X⊇D(S)→X∗ quasibounded generalized pseudomonotone such that there exists a real reflexive ...
Teffera M. Asfaw
doaj   +1 more source

Multivalued penalty method for evolution variational inequalities with λ0-pseudomonotone multivalued maps

, 2007
We consider evolution variational inequalities with λ 0-pseudomonotone maps. The main properties of these maps are investigated. By using the finite-difference method, we prove the property of strong solvability for the class of evolution variational ...
P. O. KASYANOV, TOSCANO, LUISA, V. S. MELNIK   +2 more
core   +1 more source

Differential-operator inclusions and multivariation inequalities with pseudomonotone maps [PDF]

, 2010
Розглянуто диференціально-операторні включення та мультиваріаційні нерівності в банахових просторах з квазімонотонними відображеннями. Досліджено функціонально-топологічні властивості розв’язуючого оператора.
Касьянов, П.О.
core   +1 more source

Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems

Abstract and Applied Analysis, 2016
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators.
Teffera M. Asfaw
doaj   +1 more source

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
doaj   +1 more source