Positive solutions of higher order quasilinear elliptic equations.
Positive solutions of inequality with -Laplacian in exterior domains
In the paper the differential inequality where , , is studied. Sufficient conditions on the function are established, which guarantee nonexistence of an eventually positive solution. The generalized Riccati transformation is the main tool.
Positive Solutions of Schrödinger Equations in Two-Dimensional Exterior Domains.
Positive solutions of semilinear elliptic problems in unbounded domains with unbounded boundary
Positive solutions of slightly supercritical elliptic equations in symmetric domains
Positive solutions of some nonlinear elliptic problems in unbounded domain.
Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains.
Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains
Potential theory for quasilinear elliptic equations.
Prescribing a fourth order conformal invariant on the standard sphere, part II : blow up analysis and applications
In this paper we perform a fine blow up analysis for a fourth order elliptic equation involving critical Sobolev exponent, related to the prescription of some conformal invariant on the standard sphere . We derive from this analysis some a priori estimates in dimension and . On these a priori estimates, combined with the perturbation result in the first part of the present work, allow us to obtain some existence result using a continuity method. On we prove the existence of at least one...
Prescribing -curvature on higher dimensional spheres
We study the problem of prescribing a fourth order conformal invariant on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a careful analysis of the gradient flow lines in the neighborhood of such critical points at infinity, we prove some existence results.
Prescribing scalar curvature on
Prescribing the jacobian determinant in Sobolev spaces
Problemi ellittici non lineari con dati singolari e applicazioni alla teoria elettrodebole di Glashow-Salam-Weinberg
Problemi variazionali non lineari di tipo ellittico
Problems involving -Laplacian type equations and measures
Problems involving -Laplacian type equations and measures
In this paper I discuss two questions on -Laplacian type operators: I characterize sets that are removable for Hölder continuous solutions and then discuss the problem of existence and uniqueness of solutions to with zero boundary values; here is a Radon measure. The joining link between the problems is the use of equations involving measures.
Pseudoholomorphic strips in symplectisations I : asymptotic behavior