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Your search keyword '"Motreanu, Viorica V."' showing total 14 results
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14 results on '"Motreanu, Viorica V."'

1. A Strong Maximum Principle for General Nonlinear Operators

Author

Fresse, Lucas, Motreanu, Viorica V., Pardalos, Panos M., Series Editor, Thai, My T., Series Editor, Du, Ding-Zhu, Honorary Editor, Belavkin, Roman V., Advisory Editor, Birge, John R., Advisory Editor, Butenko, Sergiy, Advisory Editor, Kumar, Vipin, Advisory Editor, Nagurney, Anna, Advisory Editor, Pei, Jun, Advisory Editor, Prokopyev, Oleg, Advisory Editor, Rebennack, Steffen, Advisory Editor, Resende, Mauricio, Advisory Editor, Terlaky, Tamás, Advisory Editor, Vu, Van, Advisory Editor, Vrahatis, Michael N., Advisory Editor, Xue, Guoliang, Advisory Editor, Ye, Yinyu, Advisory Editor, Daras, Nicholas J., editor, Rassias, Michael Th., editor, and Zographopoulos, Nikolaos B., editor

Published
2023
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6. Generalized versus classical normal derivative.

Author

Fresse, Lucas and Motreanu, Viorica V.

Subjects
NEUMANN boundary conditions, NEUMANN problem
Abstract

Given a bounded domain with Lipschitz boundary, the general Green formula permits to justify that the weak solutions of a Neumann elliptic problem satisfy the Neumann boundary condition in a weak sense. The formula involves a generalized normal derivative. We prove a general result which establishes that the generalized normal derivative of an operator coincides with the classical one, provided that the operator is continuous. This result allows to deduce that, under usual regularity assumptions, the weak solutions of a Neumann problem satisfy the Neumann boundary condition in the classical sense. This information is necessary in particular for applying the strong maximum principle. [ABSTRACT FROM AUTHOR]

Published
2023
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9. LOCATION OF NODAL SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH GRADIENT DEPENDENCE.

Author

Motreanu, Dumitru, Motreanu, Viorica V., and Moussaoui, Abdelkrim

Subjects
ELLIPTIC differential equations, NODAL analysis, EXISTENCE theorems, REGULAR functions (Mathematics), ARITHMETIC mean
Abstract

Existence and regularity results for quasilinear elliptic equations driven by (p, q)-Laplacian and with gradient dependence are presented. A location principle for nodal (i.e., sign-changing) solutions is obtained by means of constant-sign solutions whose existence is also derived. Criteria for the existence of extremal solutions are finally established. [ABSTRACT FROM AUTHOR]

Published
2018
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