A variational approach for a semi-linear parabolic equation with measure data
Mongi Mabrouk (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “A Sturm-Liouville theorem for nonlinear elliptic partial differential equations”
A variational approach for a semi-linear parabolic equation with measure data
Strongly nonlinear elliptic boundary value problems
H. Brézis, F. E. Browder (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Existence of multiple principal eigenvalues for some indefinite linear eigenvalue problems
J. Fleckinger, J. Hernández, F. Thélin (2004)
Bollettino dell'Unione Matematica Italiana
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We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.
On strongly nonlinear elliptic equations with weak coercitivity condition.
László Simon (1992)
Publicacions Matemàtiques
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We prove the existence and uniqueness of weak solutions of boundary problem value problems in an unbounded domain Ω ⊂ R for strongly nonlinear 2m order elliptic differential equations.
A remark on quasilinear elliptic variational inequalities with discontinuous coefficients
Biagio Ricceri (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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This Note contains the following remark on a recent result by Boccardo and Buttazzo: under the same assumptions, a stronger conclusion, concerning the solvability of variational inequalities, can be obtained.