Results 11 to 20 of about 57 (53)
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 3, Page 401-417, 2005., 2005 We consider quasilinear elliptic variational‐hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub‐ and supersolutions, on the basis of which we then develop the sub‐supersolution method for variational‐hemivariational ...
S. Carl, Vy K. Le, D. Motreanu
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Topological structure of solution sets of differential inclusions: the constrained case
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 325-351, 2003., 2003 We survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables constrained to the so‐called regular and strictly regular ...
Wojciech Kryszewski
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Existence of extremal periodic solutions for quasilinear parabolic equations
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 257-270, 1997., 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 defined upper and lower solutions.
Siegfried Carl
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On a Neumann Problem with an Intrinsic Operator
AxiomsThis paper investigates the existence and location of solutions for a Neumann problem driven by a (p,q) Laplacian operator and with a reaction term that depends not only on the solution and its gradient but also incorporates an intrinsic operator, which ...
Dumitru Motreanu, Angela Sciammetta
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Continuity and Fr�chet-differentiability of Nemytskij operators in H�lder spaces
Monatshefte f�r Mathematik, 1992 The paper is a continuation of \textit{M. Goebel} [Glasg. Math. J. 33, No. 1, 1-5 (1991; Zbl 0724.47041)] and deals with Nemytskij operators (superposition operators), \((Fy)(t)=f(t,y(t))\), which are generated by a function \(f: [a,b]\times\mathbb{R}^ n\to\mathbb{R}\).
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ON THE SEQUENTIAL STRONG-WEAK CLOSEDNESS OF THE NEMYTSKIJ MULTIVALUED OPERATOR
Demonstratio Mathematica, 2002 The author gives sufficient conditions for the sequential strong-weak closedness of the Nemytskij operator generated by a measurable multivalued map \(f: \Omega\times E\to 2^F\), with \(\Omega\) being a measure space and \(E\), \(F\) being separable Banach spaces.
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On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators
Zeitschrift für Analysis und ihre Anwendungen, 1994 Sufficient conditions of lower semicontinuity and metric upper semicontinuity of Nemytskii set-valued operators N_F generated by a set-valued function F: \Omega \times X \to 2^Y
Rolewicz, S., Wen, Song
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ON NEMYTSKIJ OPERATOR OF SUBSTITUTION IN THE C1 SPACE OF SET-VALUED FUNCTIONS
Demonstratio Mathematica, 2008 AbstractWe consider the Nemytskij operator, i.e., the operator of substitution, defined by (
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Electronic Journal of Differential Equations, 2007 Let $a:mathbb{R}o mathbb{R}$ be a strictly increasing odd continuous function with $lim_{to +infty }a(t)=+infty $ and $A(t)=int_{0}^{t}a(s),ds$, $tin mathbb{R}$, the $N$-function generated by $a$.
Pavel Matei, George Dinca
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Journal of Mathematical Analysis and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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