Results 61 to 70 of about 618,259 (179)
Moving planes, moving spheres, and a priori estimates
Journal of Differential Equations, 2003 The authors use the method of moving planes and the method of moving spheres to obtain a priori estimates for the solutions of semi-linear elliptic equations. By the method of moving planes they establish a sharper estimate on the solutions for prescribing scalar curvature equations with indefinite curvature functions.
Chen, Wenxiong, Li, Congming
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Journal of Inequalities and Applications, 1999 We consider the Dirichlet problem for a class of nonlinear elliptic equations whose model is . We give a priori -estimates using symmetrization methods. An obstacle problem for nonlinear variational inequalities is also studied.
Rakotoson JM, Ferone V, Posteraro MR
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A view on Liouville theorems in PDEs
Analysis and Geometry in Metric SpacesOur review of Liouville theorems includes a special focus on nonlinear partial differential equations and inequalities.
Mitidieri Enzo
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On an initial-boundary value problem for the nonlinear Schrödinger equation
International Journal of Mathematics and Mathematical Sciences, 1979 We study an initial-boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer.
Herbert Gajewski
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Solvability of Neumann boundary-value problems with Caratheodory nonlinearities
Electronic Journal of Differential Equations, 2004 We propose a sufficient condition, on the nonlinear term, for the existence of solutions. This new condition is weaker than the usual sign condition and than the assumption on the existence of constant upper and lower solutions.
Abdelkader Boucherif, Nawal Al-Malki
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On Wave Equations Without Global a Priori Estimates
Boletim da Sociedade Paranaense de Matemática, 2011 Summary: We investigate the existence and uniqueness of weak solution for a mixed problem for wave operator of the type: \[ L(u) =\frac{\partial^2u}{\partial t^2}-\Delta u + |u|^{\rho}-f,\quad \rho>1. \] The operator is defined for real functions \(u = u(x, t)\) and \(f = f (x, t)\) where \((x, t) \in Q\) a bounded cylinder of \(\mathbb R^{n+1}\).
Luis Adauto Medeiros +2 more
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Electronic Journal of Differential EquationsWe establish an explicit uniform a priori estimate for weak solutions to slightly subcritical elliptic problems with nonlinearities simultaneously at the interior and on the boundary.
Edgar Antonio +3 more
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Periodic travelling waves of a forced Cahn-Hilliard equation
Mathematical Modelling and AnalysisWe prove analytically the existence of a uniparametric family of periodic travelling waves for a Cahn-Hilliard equation with an external forcing term modelling the phase separation of a binary mixture of fluids with thermal diffusion.
Pedro J. Torres
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An Application of Potential Estimates to A Priori Bounds for Elliptic Equations
Abstract and Applied Analysis, 2016 A potential estimate type approach is used in order to obtain some a priori bounds for the solutions of certain classes of Dirichlet problems associated with nondivergence structure elliptic equations.
Farman Mamedov +2 more
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Qualitative Properties of the Solution of a Conjugate Problem of Thermal Convection
Учёные записки Казанского университета: Серия Физико-математические наукиThe joint convection of two viscous heat-conducting liquids in a three-dimensional layer bounded by flat solid walls was studied. The upper wall is thermally insulated, and the lower wall has a non-stationary temperature field. The liquids are immiscible
A. A. Azanov, E. N. Lemeshkova
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