Contributions to Nonlinear Elliptic Equations and Systems

Nonexistence of positive classical solutions for the nonlinear Schr¨odinger equation with unbounded or decaying weights.- Hylomorphic solitons for the generalized KdV equation.- A consequence of Djairo's Lectures on the Ekeland variational principle.- Waveguide solutions for a nonlinear Schr¨odinger equation with mixed dispersion.- Fibers and global geometry of functions.- Existence of infinitely many continua of radial singular polytropes with gain-loss function.- Branches of positive solutions for subcritical elliptic equations.- Multiple solutions to anisotropic critical and supercritical problems in symmetric domains.- Compactness and non-compactness for Yamabe-type problems.- Asymptotics of ground states for fractional H´enon systems.- Positive solutions for certain classes of fourth-order ordinary elliptic Systems.- Remarks on the behavior of the best Sobolev constants.- Bubbling solutions to an anisotropic H´enon equation.- The sub-supersolution method for Kirchhoff systems: applications.- Nodal structure of the solution of a cooperative elliptic system.- Nonquadraticity condition on superlinear problems.- Radial solutions of a Neumann problem coming from a burglary model.- Modeling suspension bridges through the von K´arm´an quasilinear plate equations.- Nonlinear Klein-Gordon-Maxwell systems with Neumann boundary conditions on a Riemannian manifold with boundary.- Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions.- Critical and noncritical regions on the critical hyperbola.- A nonlinear Steklov problem arising in corrosion modeling.- Remarks on the p-laplacian on thin domains.- Spatial trajectories and convergence to traveling fronts for bistable reaction-diffusion equations.- Regularity estimates for fully non linear elliptic equations which are asymptotically convex.