Results 71 to 80 of about 514,187 (157)

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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Pseudomonotonicity and nonlinear hyperbolic equations [PDF]

, 1997
summary:In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone ...
Kandilakis, Dimitrios A.
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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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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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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.
openaire   +1 more source

On solvability for evolutionary variational inequality with set-valued generalized pseudomonotone operators

, 2003
The sufficient conditions for weak and strong generalized solvability of evolutionary variational inequalities with set-valued operators are proposed. We consider the operators of pseudomonotone type.
Solonukha, O.
core  

On solvability of the variational inequality with +-coercive multivalued mappings [PDF]

, 1999
In this work the theory of variational inequalities with multivalued operators is extended for the wider of multivalued maps from the re°exive Banach space to its dual one.
Solonoukha, O.V.
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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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