Critical points for nonsmooth energy functions and applications

Nonlinear Analysis, Theory, Methods and Applications

Volumn 32, Issue 6, 1998, Pages 711-718

  Adly, Samir ^a   Buttazzo, Giuseppe ^b   Théra, Michel ^a  

^a UNIVERSITY OF LIMOGES   (France)

^b UNIVERSITY OF PISA   (Italy)

Author keywords

Critical point theory; Differential equations involving discontinuous nonlinearities; Nonconvex nonsmooth superpotentials; Periodic solutions for second order differential equations; Semicoercive nonlinear problems

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING; TOPOLOGY;

CRITICAL POINT THEORY; HEMIVARIATIONAL INEQUALITY; LIPSCHITZ FUNCTION; NONSMOOTH ENERGY FUNCTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0032092164     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00512-9     Document Type: Article

References (7)

1. Panagiotopoulos, P. D., Nonconvex superpotentials in the sense of F. H. Clarke and applications. Mech. Res. Comm., 1981, 8, 335-340.
2. Clarke, F. H., Nonsmooth Analysis and Optimization. Wiley, New York, 1984.
3. Panagiotopoulos, P. D., Hemivariational Inequalities, Applications in Mechanics and engineering. Springer-Verlag, Berlin, 1993.
4. Chang, K. C., Variational methods for nondifferentiable functionals and their applications to partial differential equations. J. Math. Anal. Appl., 1981, 80, 102-129.
5. Rabinowitz, P. H., Some minimax theorems and applications to nonlinear partial differential equations. Nonlinear Anal., 1978, 161-177.
6. Zeidler, E., Nonlinear functional Analysis and its Applications II/5, Nonlinear Monotone Operators. Springer-Verlag, Berlin, 1990.
7. Adly, S. and Goeleven, D., Periodic solutions for a class of hemivariational inequalities. Comm. Appl. Nonlinear Anal., 1995, 2(2), 45-57.