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On Some Noncoercive Variational Inequalities

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We study existence and regularity of solutions of noncoercive variational inequalities.

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REFERENCES

  1. J. L. Lions and G. Stampacchia, “Variational inequalities,” Commun. Pure Appl. Math. 20, 493–519 (1967).

    Google Scholar 

  2. S. A diy, D. Goeleven, and M. Théra, “Recession mappings and noncoercive variational inequalities,” Nonlin. Analysis, Theory, Meth. Appl. 26, No. 9, 1573–1603 (1996).

    Google Scholar 

  3. C. Baiocchi, G. Buttazzo, F. Gastaldi, and F. Tomarelli, “General existence theorems for unilateral problems in continuum mechanics,” Arch. Ration. Mech. Anal. 100 (2), 149–180 (1988).

    Google Scholar 

  4. C. Baiocchi, F. Gastaldi, and F. Tomarelli, “Some existence results on noncoercive variational inequalities,” Ann. Scuola Norm. Super Pisa 13, 617–659 (1986).

    Google Scholar 

  5. F. Tomarelli, “Noncoercive variational inequalities for pseudomonotone operators,” Rend. Semin. Mat. Fis. Milano 61, 141–183 (1991).

    Google Scholar 

  6. R. Toscano and A. Gallo, “Proprietà di regolarità della soluzione di una disequazione variazionale connessa a due operatori ellittici del secondo ordine,” Ric. Mat. 33, Fasc. 1, 19–40 (1984).

    Google Scholar 

  7. J. Necas, Les Methodes Directes en Théorie des Équations Elliptiques Masson (1967).

  8. D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications Academic Press, New York (1980).

    Google Scholar 

  9. A. Esposito, “Un problema differenziale unilaterale del quarto ordine in due variabili,” Bull. Unione Mat. Ital. 6, No. 2-B, 653–664 (1983).

    Google Scholar 

  10. S. Agmon, “The Lp approach to the Dirichlet problem,” Ann. Scuola Norm. Super Pisa 13 (1959).

  11. P. Grisvard, Elliptic Problems in Nonsmooth Domains Pitman (1985).

  12. J. L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires Dunod (1969).

  13. S. Agmon, Lectures on Elliptic Boundary Value Problems Van Nostrand, New York (1965).

    Google Scholar 

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Gallo, A., Piccirillo, A.M. & Toscano, L. On Some Noncoercive Variational Inequalities. Ukrainian Mathematical Journal 53, 841–865 (2001). https://doi.org/10.1023/A:1013389916706

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  • DOI: https://doi.org/10.1023/A:1013389916706

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