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Displaying 221 – 240 of 604

Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles

Miloslav Feistauer (1989)

Aplikace matematiky

The paper is devoted to the solvability of a nonlinear elliptic problem in a plane multiply connected domain. On the inner components of its boundary Dirichlet conditions are known up to additive constants which have to be determined together with the sought solution so that the so-called trailing stagnation conditions are satisfied. The results have applications in the stream function solution of subsonic flows past groups of profiles or cascades of profiles.

Nonlinear elliptic problems with jumping nonlinearities near the first eigenvalue

Pavel Drábek (1981)

Aplikace matematiky

In this paper existence and multiplicity of solutions of the elliptic problem $ℒ u + λ_{1} u + μ u^{+} v u^{-} + g (x, u) = f$ in $Ω$ $B u = 0$ on $\partial Ω$ , are discussed provided the parameters $μ$ and $v$ are close to the first eigenvalue $_{1}$ . The sufficient conditions...

Nonlinear elliptic problems with the method of finite volumes.

Khattri, Sanjay Kumar (2006)

Differential Equations & Nonlinear Mechanics

Nonlinear elliptic systems in stochastic game theory.

A. Bensoussan, J. Frehse (1984)

Journal für die reine und angewandte Mathematik

Nonlinear elliptic systems with dynamic boundary conditions.

Joachim Escher (1992)

Mathematische Zeitschrift

Nonlinear elliptic systems with exponential nonlinearities.

El Manouni, Said, Touzani, Abdelfattah (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Nonlinear Elliptic Systems with Quadratic Growth.

M. Giaquinta, Enrico Giusti (1978)

Manuscripta mathematica

Nonlinear equations on Carnot groups and curvature problems for CR manifolds

Ermanno Lanconelli (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We give a short overview of sub-Laplacians on Carnot groups starting from a result by Caccioppoli dated 1934. Then we show that sub-Laplacians on Carnot groups of step one arise in studying curvature problems for $C R$ manifolds. We restrict our presentation to the cases of the Webster-Tanaka curvature problem for the $C R$ sphere and of the Levi-curvature equation for strictly pseudoconvex functions.

Nonlinear equations with natural growth terms and measure data.

Porretta, Alessio (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Nonlinear Evolution Equations and Analyticity. I

Tosio Kato, Kyûya Masuda (1986)

Annales de l'I.H.P. Analyse non linéaire

Nonlinear evolution equations generated by subdifferentials with nonlocal constraints

Risei Kano, Yusuke Murase, Nobuyuki Kenmochi (2009)

Banach Center Publications

We consider an abstract formulation for a class of parabolic quasi-variational inequalities or quasi-linear PDEs, which are generated by subdifferentials of convex functions with various nonlocal constraints depending on the unknown functions. In this paper we specify a class of convex functions $φ^{t} (v; \cdot)$ on a real Hilbert space H, with parameters 0 ≤ t ≤ T and v in a set of functions from [-δ₀,T], 0 < δ₀ < ∞, into H, in order to formulate an evolution equation of the form $u^{'} (t) + \partial φ^{t} (u; u (t)) ∋ f (t)$ , 0 < t < T, in H. Our...

Nonlinear Evolution Equations of Soboley-Galpern Type.

Bui An Ton (1976)

Mathematische Zeitschrift

Nonlinear evolution equations with exponential nonlinearities: conditional symmetries and exact solutions

Roman Cherniha, Oleksii Pliukhin (2011)

Banach Center Publications

New Q-conditional symmetries for a class of reaction-diffusion-convection equations with exponential diffusivities are derived. It is shown that the known results for reaction-diffusion equations with exponential diffusivities follow as particular cases from those obtained here but not vice versa. The symmetries obtained are applied to construct exact solutions of the relevant nonlinear equations. An application of exact solutions to solving a boundary-value problem with constant Dirichlet conditions...

Nonlinear evolution inclusions arising from phase change models

Pierluigi Colli, Pavel Krejčí, Elisabetta Rocca, Jürgen Sprekels (2007)

Czechoslovak Mathematical Journal

The paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.

Nonlinear evolution PDEs in $R^{+} \times C^{d}$ : existence and uniqueness of solutions, asymptotic and Borel summability properties

O. Costin, S. Tanveer (2007)

Annales de l'I.H.P. Analyse non linéaire

Nonlinear feedback stabilization of a rotating body-beam without damping

Boumediène Chentouf, Jean-François Couchouron (1999)

ESAIM: Control, Optimisation and Calculus of Variations

Nonlinear feedback stabilization of a rotating body-beam without damping

Boumediène CHENTOUF, Jean-François COUCHOURON (2010)

ESAIM: Control, Optimisation and Calculus of Variations

This paper deals with nonlinear feedback stabilization problem of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the feedback law proposed here consists of a nonlinear control torque applied to the rigid body and either a boundary control moment or a nonlinear boundary control force or both of them applied to the free end of the beam. This nonlinear feedback, which insures the exponential decay of the beam vibrations, extends the linear...

Nonlinear feedback stabilization of a two-dimensional Burgers equation

Laetitia Thevenet, Jean-Marie Buchot, Jean-Pierre Raymond (2010)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper, we study the stabilization of a two-dimensional Burgers equation around a stationary solution by a nonlinear feedback boundary control. We are interested in Dirichlet and Neumann boundary controls. In the literature, it has already been shown that a linear control law, determined by stabilizing the linearized equation, locally stabilizes the two-dimensional Burgers equation. In this paper, we define a nonlinear control law which also provides a local exponential stabilization of...

Nonlinear Fokker-Planck equation in the model of asset returns.

Shapovalov, Alexander, Trifonov, Andrey, Masalova, Elena (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Nonlinear fourth order problems with asymptotically linear nonlinearities

Abir Amor Ben Ali, Makkia Dammak (2024)

Mathematica Bohemica

We investigate some nonlinear elliptic problems of the form $Δ^{2} v + σ (x) v = h (x, v) in Ω, v = Δ v = 0 on \partial Ω, (P)$ where $Ω$ is a regular bounded domain in $ℝ^{N}$ , $N \geq 2$ , $σ (x)$ a positive function in $L^{\infty} (Ω)$ , and the nonlinearity $h (x, t)$ is indefinite. We prove the existence of solutions to the problem (P) when the function $h (x, t)$ is asymptotically linear at infinity by using variational method but without the Ambrosetti-Rabinowitz condition. Also, we consider the case when the nonlinearities are superlinear and subcritical.

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