Nonlinear equations with natural growth terms and measure data.
Nonlinear fourth order problems with asymptotically linear nonlinearities
We investigate some nonlinear elliptic problems of the form where is a regular bounded domain in , , a positive function in , and the nonlinearity is indefinite. We prove the existence of solutions to the problem (P) when the function 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.
Nonlinear functional integrodifferential equations in Hilbert space.
Non-linear initial data for second and higher order semi-linear elliptic equations.
Nonlinear Neumann problems on bounded Lipschitz domains.
Nonlinear operator equations and boundary-value problems
Nonlinear perturbation of balayage spaces.
Nonlinear perturbations of linear elliptic and parabolic problems at resonance : existence of multiple solutions
Nonlinear potential equations with linear parts at resonance
Nonlinear Riemann Boundary Value Problems for a Nonlinear Elliptic System in the Plane.
Nonlinear subelliptic Schrödinger equations with external magnetic field.
Nonlinear unilateral problems in Orlicz spaces
We prove the existence of solutions of the unilateral problem for equations of the type Au - divϕ(u) = μ in Orlicz spaces, where A is a Leray-Lions operator defined on , and .
Nonlocal elliptic problems
Some conditions for the existence and uniqueness of solutions of the nonlocal elliptic problem , are given.
Non-local Gel'fand problem in higher dimensions
The non-local Gel’fand problem, with Dirichlet boundary condition, is studied on an n-dimensional bounded domain Ω. If it is star-shaped, then we have an upper bound of λ for the existence of the solution. We also have infinitely many bendings in λ of the connected component of the solution set in λ,v if Ω is a ball and 3 ≤ n ≤ 9.
Non-Newtonian fluids and function spaces
In this note we give an overview of recent results in the theory of electrorheological fluids and the theory of function spaces with variable exponents. Moreover, we present a detailed and self-contained exposition of shifted -functions that are used in the studies of generalized Newtonian fluids and problems with -structure.
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.
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 an asymptotically linear Dirichlet problem.
Nontrivial solutions of semilinear elliptic systems in .
Nonuniqueness of steady states in annular domains for Streater equations
Models introduced by R. F. Streater describe the evolution of the density and temperature of a cloud of self-gravitating particles. We study nonuniqueness of steady states in annular domains in , d ≥ 2.