Uniqueness of positive solutions for some nonlinear fourth-order equations

Journal of Mathematical Analysis and Applications

Volumn 201, Issue 1, 1996, Pages 152-168

  Dalmasso, R ^a  

^a UNIV GRENOBLE ALPES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030186866     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0247     Document Type: Article

References (10)

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3. 3. R. Dalmasso, Symmetry properties of solutions of some fourth order ordinary differential equations, Bull. Sci. Math. (2) 117 (1993), 441-462.
4. 4. R. Dalmasso, Uniqueness theorems for some fourth order elliptic equations, Proc. Amer. Math. Soc. 123 (1995), 1177-1183.
5. 5. R. Dalmasso, Uniqueness of positive solutions of nonlinear second order systems, Rev. Mat. Iberoamericana 11 (1995), 247-267.
6. 6. D. R. Dunninger and M. Miclavcic, On a semilinear biharmonic equation, Nonlinear Anal. Theory Methods Appl. 16 (1991), 383-387.
7. 7. D. Figueiredo, P. L. Lions, and R. D. Nussbaum, A priori estimates and existence of positive solutions of semilinear elliptic equations, J. Math. Pures Appl. 61 (1982), 41-63.
8. 8. P. L. Lions, The concentration-compactness principle in the calculus of variations. The limit case. Rev. Mat. Iberoamericana 1, No. 1 (1985), 145-201.
9. 9. M. Protter and H. Weinberger, "Maximum Principles in Differential Equations," Prentice-Hall, Englewood Cliffs, NJ, 1967.
10. 10. P. Pucci and J. Serrin, Remarks on the first eigenspace for polyharmonic operators, Atti Sem. Mat. Fis. Univ. Modena 36 (1988), 107-117.