Results 111 to 118 of about 908 (118)
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Mathematical Notes, 2012
A nonlinear evolution equation of the form \[ y'(t)+A(y(t))=f \] is considered for an evolutionary triple \(V\Subset H\equiv H^*\subset V^*\), where \(V\) is a reflexive separable Banach space, and \(H\) is Hilbert space. It is assumed that the nonlinear operator \(A:V\to V^*\) is pseudomonotone and satisfies certain dissipation and power growth ...
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A nonlinear evolution equation of the form \[ y'(t)+A(y(t))=f \] is considered for an evolutionary triple \(V\Subset H\equiv H^*\subset V^*\), where \(V\) is a reflexive separable Banach space, and \(H\) is Hilbert space. It is assumed that the nonlinear operator \(A:V\to V^*\) is pseudomonotone and satisfies certain dissipation and power growth ...
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Cybernetics and Systems Analysis, 2011
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Journal of Global Optimization
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Shengda Zeng +3 more
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Shengda Zeng +3 more
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2013
We study the existence of nontrivial solutions of parameter-dependent quasilinear elliptic Dirichlet problems of the form $-\Delta u = \lambda f(u)$ in $\Omega$, $u = 0$ on $\partial\Omega$, in a bounded domain $\Omega$ with sufficiently smooth boundary, where $\lambda$ is a real parameter and $\Delta_p$ denotes the p-Laplacian.
Candito, P., Carl, S., Livrea, R.
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We study the existence of nontrivial solutions of parameter-dependent quasilinear elliptic Dirichlet problems of the form $-\Delta u = \lambda f(u)$ in $\Omega$, $u = 0$ on $\partial\Omega$, in a bounded domain $\Omega$ with sufficiently smooth boundary, where $\lambda$ is a real parameter and $\Delta_p$ denotes the p-Laplacian.
Candito, P., Carl, S., Livrea, R.
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2020
Summary: Sufficient conditions for weak and strong generalized solvability of evolutionary variational inequalities with set-valued operators are proposed. We consider operators of pseudomonotone type. We apply this theory to the study of variational inequalities which are perturbed by convex functionals.
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Summary: Sufficient conditions for weak and strong generalized solvability of evolutionary variational inequalities with set-valued operators are proposed. We consider operators of pseudomonotone type. We apply this theory to the study of variational inequalities which are perturbed by convex functionals.
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Pseudomonotone Operators and Quasi-Linear Elliptic Differential Equations
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Differential-operator inclusions in Banach spaces with W-pseudomonotone maps
2017Kasyanov, P.O., Mel'nik, V.S.
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