Results 61 to 70 of about 126 (118)

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

Proceedings of the American Mathematical Society, 2011
Summary: 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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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 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

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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Double phase elliptic inclusions with convection and logarithmic perturbed terms

Bulletin of Mathematical Sciences
This paper deals with a new double phase elliptic inclusion (DPEI) formulated by a double phase partial differential operator with logarithmic perturbation, a general multivalued convection term defined in the domain and a general multivalued term ...
Shengda Zeng, Yasi Lu, Nikolaos S. Papageorgiou   +2 more
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A New Topological Degree Theory for Perturbations of Demicontinuous Operators and Applications to Nonlinear Equations with Nonmonotone Nonlinearities

Journal of Function Spaces, 2016
Let X be a real reflexive locally uniformly convex Banach space with locally uniformly convex dual space X⁎. Let T:X⊇DT→2X⁎ be maximal monotone of type Γdϕ (i.e., there exist d≥0 and a nondecreasing function ϕ:0,∞→0,∞ with ϕ(0)=0 such that 〈v⁎,x-y〉≥-dx ...
Teffera M. Asfaw
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On Quasi-Monotone Stochastic Variational Inequalities with Applications

Axioms
This paper studies an efficient method for solving stochastic optimization problems formulated as stochastic variational inequalities with a quasi-monotone operator, where the cost function extends the classical monotone and pseudomonotone operators. Our
Mohammad Dilshad, Ibrahim Al-Dayel, Francis O. Nwawuru, Jeremiah N. Ezeora   +3 more
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