Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues.
Multiplicity results for a class of semilinear elliptic equations on
Multiplicity results for an inhomogeneous Neumann problem with critical exponent.
Multiplicity results for positive solutions to non-autonomous elliptic problems.
Multiplicity results for the prescribed scalar curvature on low spheres
In this paper, we consider the problem of multiplicity of conformal metrics of prescribed scalar curvature on standard spheres . Under generic conditions we establish someMorse Inequalities at Infinity, which give a lower bound on the number of solutions to the above problem in terms of the total contribution of its critical points at Infinityto the difference of topology between the level sets of the associated Euler-Lagrange functional. As a by-product of our arguments we derive a new existence...
Multivalued nonpositone problems
In this note, the existence of non-negative solutions for some multivalued non-positone elliptic problems is studied.
New ideas on complete integrability
New linking theorems
Nodal solutions for scalar curvature type equations with perturbation terms on compact Riemannian manifolds
In this paper we study the nodal solutions for scalar curvature type equations with perturbation. The main results concern the existence of such solutions and the exact description of their zero set. From this we deduce, in particular cases, some multiplicity results.
Non linear systems of the type of the stationary Navier-Stokes system.
Nonexistence for the Laplace equation with a dynamical boundary condition of fractional type.
Nonlinear boundary value problems with application to semiconductor device equations
The paper deals with boundary value problems for systems of nonlinear elliptic equations in a relatively general form. Theorems based on monotone operator theory and concerning the existence of weak solutions of such a system, as well as the convergence of discretized problem solutions are presented. As an example, the approach is applied to the stationary Van Roosbroeck’s system, arising in semiconductor device modelling. A convergent algorithm suitable for solving sets of algebraic equations generated...
Nonlinear elliptic boundary value problems versus their finite difference approximations: numerically irrelevant solutions.
Nonlinear Elliptic Eigenvalue Problems on an Infinite Strip ? GlobalTheory of Bifurcation and Asymptotic Bifurcation.
Nonlinear Elliptic Problems with Critical Exponent in Shrinking Annuli.
Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles
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 the method of finite volumes.
Nonlinear elliptic systems in stochastic game theory.
Nonlinear Elliptic Systems with Quadratic Growth.