Displaying similar documents to “A Note on Coercivity of Lower Semicontinuous Functions and Nonsmooth Critical Point Theory”

Nontrivial Solutions of Quasilinear Equations In BV

Marzocchi, Marco (1996)

Serdica Mathematical Journal

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The existence of a nontrivial critical point is proved for a functional containing an area-type term. Techniques of nonsmooth critical point theory are applied.

Perturbations of Critical Values in Nonsmooth Critical Point Theory

Degiovanni, M., Lancelotti, S. (1996)

Serdica Mathematical Journal

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* Supported by Ministero dell’Università e della Ricerca Scientifica e Tecnologica (40% – 1993). ** Supported by Ministero dell’Università e della Ricerca Scientifica e Tecnologica (40% – 1993). The perturbation of critical values for continuous functionals is studied. An application to eigenvalue problems for variational inequalities is provided.

Discontinuous quasilinear elliptic problems at resonance

Nikolaos Kourogenis, Nikolaos Papageorgiou (1998)

Colloquium Mathematicae

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In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.

On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth

Candela, Anna Maria, Squassina, Marco (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30 By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many solutions for a class of quasilinear Dirichlet problems with symmetric non-linearities having a one-sided growth condition of exponential type. The research of the authors was partially supported by the MIUR project “Variational and topological methods in the study...