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Displaying 361 – 380 of 603

Non-Trapping sets and Huygens Principle

Dario Benedetto, Emanuele Caglioti, Roberto Libero (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

We consider the evolution of a set $Λ \subset ℝ^{2}$ according to the Huygens principle: i.e. the domain at time t>0, Λt, is the set of the points whose distance from Λ is lower than t. We give some general results for this evolution, with particular care given to the behavior of the perimeter of the evoluted set as a function of time. We define a class of sets (non-trapping sets) for which the perimeter is a continuous function of t, and we give an algorithm to approximate the evolution. Finally we restrict...

Nontrivial solitary waves of GKP equation in multi-dimensional spaces.

Xuan, Benjin (2003)

Revista Colombiana de Matemáticas

Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces.

Cekic, Bilal, Mashiyev, Rabil A. (2010)

Abstract and Applied Analysis

Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations

H. Amann, E. Zehnder (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Non-trivial solutions for a class of (p₁,...,pₙ)-biharmonic systems with Navier boundary conditions

Shapour Heidarkhani (2012)

Annales Polonici Mathematici

Using a recent critical point theorem due to Bonanno, the existence of a non-trivial solution for a class of systems of n fourth-order partial differential equations with Navier boundary conditions is established.

Nontrivial solutions for a class of superquadratic elliptic equations

Chun Li, Zeng-Qi Ou, Chun-Lei Tang (2013)

Studia Mathematica

Using a version of the Local Linking Theorem and the Fountain Theorem, we obtain some existence and multiplicity results for a class of superquadratic elliptic equations.

Nontrivial solutions for a Neumann problem with a nonlinear term asymptotically linear at - ... and superlinear at + ... .

David Arcoya, Salvador Villegas (1995)

Mathematische Zeitschrift

Nontrivial solutions for a robin problem with a nonlinear term asymptotically linear at $- \infty$ and superlinear at $+ \infty$ .

Castro T., Rafael A. (2008)

Revista Colombiana de Matemáticas

Nontrivial solutions for an asymptotically linear Dirichlet problem.

Cossio, Jorge, Vélez, Carlos (2003)

Revista Colombiana de Matemáticas

Nontrivial solutions for Monge-Ampère type operators in convex domains.

B. Franchi, N. Kutev, S. Polidoro (1993)

Manuscripta mathematica

Nontrivial solutions for noncooperative elliptic systems at resonance.

Silva, Elves A.B. (2001)

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

Nontrivial solutions for nonlinear elliptic problems via Morse theory.

Ayoujil, Abdesslem, El Amrouss, Abdel R. (2006)

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

Nontrivial Solutions of Quasilinear Equations In BV

Marzocchi, Marco (1996)

Serdica Mathematical Journal

The existence of a nontrivial critical point is proved for a functional containing an area-type term. Techniques of nonsmooth critical point theory are applied.

Nontrivial solutions of semilinear elliptic systems in $ℝ^{n}$ .

Yang, Jianfu (2001)

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

Nontrivial solutions of the asymmetric beam system with jumping nonlinear terms.

Jung, Tacksun, Choi, Q-Heung (2010)

Boundary Value Problems [electronic only]

Nontrivial solutions to boundary value problems for semilinear $Δ_{γ}$ -differential equations

Duong Trong Luyen (2021)

Applications of Mathematics

In this article, we study the existence of nontrivial weak solutions for the following boundary value problem: $- Δ_{γ} u = f (x, u) in Ω, u = 0 on \partial Ω,$ where $Ω$ is a bounded domain with smooth boundary in $ℝ^{N}$ , $Ω \cap {x_{j} = 0} \neq \emptyset$ for some $j$ , $Δ_{γ}$ is a subelliptic linear operator of the type $Δ_{γ} : = \sum_{j = 1}^{N} \partial_{x_{j}} (γ_{j}^{2} \partial_{x_{j}}), \partial_{x_{j}} : = \frac{\partial}{\partial x_{j}}, N \geq 2,$ where $γ (x) = (γ_{1} (x), γ_{2} (x), \dots, γ_{N} (x))$ satisfies certain homogeneity conditions and degenerates at the coordinate hyperplanes and the nonlinearity $f (x, ξ)$ is of subcritical growth and does not satisfy the Ambrosetti-Rabinowitz (AR) condition.

Nontrivial solutions to the semilinear Kohn-Laplace equation on $ℝ^{3}$ .

Tersian, Stepan (1999)

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

Non-unicité des solutions d'une équation d'évolution non-linéaire

Pierre Baras (1983)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Non-unicité du problème de Cauchy pour des opérateurs de type principal

S. Alinhac (1980/1981)

Séminaire Équations aux dérivées partielles (Polytechnique)

Non-unicité du transport par un champ de vecteurs presque $B V$

Nicolas Depauw (2002/2003)

Séminaire Équations aux dérivées partielles

Nous exposons un exemple de non unicité du problème de Cauchy non caractéristique pour l’équation de transport associé à un champ de vecteurs borné, à divergence nulle et néanmoins à coefficients peu réguliers

Currently displaying 361 – 380 of 603

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