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Some non-linear function theoretic properties of Riemannian manifolds.

Stefano Pigola, Marco Rigoli, Alberto G. Setti (2006)

Revista Matemática Iberoamericana

We study the appropriate versions of parabolicity stochastic completeness and related Liouville properties for a general class of operators which include the p-Laplace operator, and the non linear singular operators in non-diagonal form considered by J. Serrin and collaborators.

Some perturbation results for non-linear problems

Carlo Carminati (1993)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We discuss the existence of closed geodesic on a Riemannian manifold and the existence of periodic solution of second order Hamiltonian systems.

Some quantitative results in singularity theory

Y. Yomdin (2005)

Annales Polonici Mathematici

The classical singularity theory deals with singularities of various mathematical objects: curves and surfaces, mappings, solutions of differential equations, etc. In particular, singularity theory treats the tasks of recognition, description and classification of singularities in each of these cases. In many applications of singularity theory it is important to sharpen its basic results, making them "quantitative", i.e. providing explicit and effectively computable estimates for all the important...

Some remarks about the p -Dirichlet integral

Mariano Giaquinta, Giuseppe Modica, Jiří Souček (1994)

Commentationes Mathematicae Universitatis Carolinae

We discuss variational problems for the p -Dirichlet integral, p non integer, for maps between manifolds, illustrating the role played by the geometry of the target manifold in their weak formulation.

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