Semilinear elliptic eigenvalue problems on an infinite strip with an application to stratified fluids
Semilinear Elliptic Equations on Unbounded Domains.
Separable solutions of quasilinear Lane–Emden equations
For and either or , we prove the existence of solutions of in a cone , with vertex 0 and opening , vanishing on , of the form . The problem reduces to a quasilinear elliptic equation on and the existence proof is based upon degree theory and homotopy methods. We also obtain a nonexistence result in some critical case by making use of an integral type identity.
Signals generated in memristive circuits
Signals generated in circuits that include nano-structured elements typically have strongly distinct characteristics, particularly the hysteretic distortion. This is due to memristance, which is one of the key electronic properties of nanostructured materials. In this article, we consider signals generated from a memrsitive circuit model. We demonstrate numerically that such signals can be efficiently represented in certain custom-designed nonorthogonal bases. The proposed method ensures that the...
Simplicity and stability of the first eigenvalue of a nonlinear elliptic system.
Singular sets and number of solutions of nonlinear boundary value problems
Singularity and regularity -- local and global.
Solutions numériques de problèmes de bifurcation
Solutions of elliptic equations involving critical Sobolev exponents with Neumann boundary conditions.
Solutions with subgroup symmetry for singular equations in bifurcation theory.
Solvability of linear and semilinear eigenvalue problems with data
Some observations on the first eigenvalue of the -Laplacian and its connections with asymmetry.
Some remarks on infinite-dimensional nonlinear elliptic problems.
Some stability properties for minimal solutions of .
Spectral analysis of variational inequalities
Spectral analysis of variational inequalities [Abstract of thesis]
Spectral and related properties about the Emden-Fowler equation -...u = ...e... on circular domains.
Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems.
Spectre d'ordre supérieur et problèmes aux limites quasi-linéaires
Nello studio dei problemi del tipo , si impongono generalmente delle condizione sul comportamento asintotico di rispetto allo spettro di . Avendo in vista dei problemi quasilineari del tipo , sembra naturale introdurre una nozione di spettro per che tenga conto della dipendenza del membro di destra rispetto al gradiende . L'oggetto di questo lavoro è di definire, studiare e applicare questa nuova nozione di spettro.
Spectrum of one dimensional -Laplacian operator with indefinite weight.