Nonresonance Below the First Eigenvalue for a Semilinear Elliptic Problem.
Nonresonance conditions at the two first eigenvalues for semilinear equations
Non-stationary parallel multisplitting AOR methods.
Non-symmetric elliptic operators on bounded Lipschitz domains in the plane.
Non-topological condensates in self-dual Chern-Simons gauge theory
This note is concerned with the recent paper "Non-topological N-vortex condensates for the self-dual Chern-Simons theory" by M. Nolasco. Modifying her arguments and statements, we show that the existence of "non-topological" multi-vortex condensates follows when the number of prescribed vortex points is greater than or equal to 2.
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 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 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 .
Nonunique continuation for plane uniformly elliptic equations in Sobolev spaces
Nonuniqueness for some linear oblique derivative problems for elliptic equations
It is well-known that the “standard” oblique derivative problem, in , on ( is the unit inner normal) has a unique solution even when the boundary condition is not assumed to hold on the entire boundary. When the boundary condition is modified to satisfy an obliqueness condition, the behavior at a single boundary point can change the uniqueness result. We give two simple examples to demonstrate what can happen.
Non-uniqueness in a free boundary problem.