Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials.
Non-Trapping sets and Huygens Principle
We consider the evolution of a set 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.
Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces.
Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations
Non-trivial solutions for a class of (p₁,...,pₙ)-biharmonic systems with Navier boundary conditions
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
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 + ... .
Nontrivial solutions for a robin problem with a nonlinear term asymptotically linear at and superlinear at .
Nontrivial solutions for an asymptotically linear Dirichlet problem.
Nontrivial solutions for Monge-Ampère type operators in convex domains.
Nontrivial solutions for noncooperative elliptic systems at resonance.
Nontrivial solutions for nonlinear elliptic problems via Morse theory.
Nontrivial Solutions of Quasilinear Equations In BV
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 .
Nontrivial solutions of the asymmetric beam system with jumping nonlinear terms.
Nontrivial solutions to boundary value problems for semilinear -differential equations
In this article, we study the existence of nontrivial weak solutions for the following boundary value problem: where is a bounded domain with smooth boundary in , for some , is a subelliptic linear operator of the type where satisfies certain homogeneity conditions and degenerates at the coordinate hyperplanes and the nonlinearity is of subcritical growth and does not satisfy the Ambrosetti-Rabinowitz (AR) condition.
Nontrivial solutions to the semilinear Kohn-Laplace equation on .
Non-unicité des solutions d'une équation d'évolution non-linéaire
Non-unicité du problème de Cauchy pour des opérateurs de type principal