Keywords
- Multiple Solution
- Nonlinear Elliptic Equation
- Eigenvalue Nonlinear Problem
- Nonlinear Elliptic Problem
- High Order Operator
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References
Hempel, A. J. Multiple Solutions for a Class of Nonlinear Boundary Value Problems. Indiana Univ. Math. J. 20 (1971) 983–996.
Ambrosetti, A. Existenza de Infinite Soluzione per Problemi Nonlineari in Assenza di Parametro. Atti Acad. Naz. Lincei 52 (1972) 660–667.
____ On the Existence of Multiple Solutions for a Class of Nonlinear Boundary Value Problems. Rend. Sem. Mat. Univ. Padova 49 (1973) 195–204.
Rabinowitz, P. Some Minimax Theorems and Applications to Nonlinear Partial Diff. Equations. In "Nonlinear Analysis". Academic Press (1978) 161–177.
Rabinowitz, P. Variational Methods for Nonlinear Eigenvalue Problems. Proc. Symp. on Eigenvalue Nonlinear Problems. Varena, Italy (1974) 141–195.
Ambrosetti, A. & Mancini, G. Theorems of Existence and Multiplicity for Nonlinear Elliptic Problems with Noninvertible Linear Part. Ann. Sc. Norm. Sup. Pisa 5 (1978) 15–28.
Castro, A. & Lazer, A. Critical Point Theory and the Number of Solutions of a Nonlinear Dirichlet Problem. Ann. Mat. Pura App. (1979) 113–137.
Castro, A. Métodos Variacionales y Analysis Funcional no Lineal. X Coloquio Colombiano de Matemáticas (1980).
____ Hammerstein Integral Equations with Indefinite Kernel. Internat. J. Math. and Math. Sci. 1 (1978) 187–201.
Clark, D. A Variant of the Ljusternik-Schnirelman Theory. Indiana Univ. Math. J 22 (1972) 65–74.
Thews, K. Multiple Solutions for Elliptic Boundary Value Problems with Odd Nonlinearities Math. Z. 163 (1972) 163–175.
____ Nontrivial Solutions of Elliptic Equations at Resonance. Proc. Royal Soc. Edinburgh 85 A (1980) 119–129.
de Figueiredo, D.G., Lions, P-L. & Nussbaum, R. A priori Estimates for Positive Solutions of Semilinear Elliptic Equations (To appear).
Brezis, H. & Nirenberg, L. Characterizations of the Ranges of Some Nonlinear Operators and Applications to Boundary Value Problems. Ann. Sc. Norm. Sup. Pisa 5 (1978) 225–326.
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© 1982 Springer-Verlag
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Alfonso, C.B., Gonçalves, J.V.A. (1982). On multiple solutions of nonlinear elliptic equations with odd nonlinearities. In: Guedes de Figueiredo, D., Hönig, C.S. (eds) Differential Equations. Lecture Notes in Mathematics, vol 957. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066232
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DOI: https://doi.org/10.1007/BFb0066232
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