Instability and exact multiplicity of solutions of semilinear equations.
Korman, Philip, Shi, Junping (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Infinitely many solutions at a resonance.”
Instability and exact multiplicity of solutions of semilinear equations.
Bifurcation of nonlinear elliptic system from the first eigenvalue.
El Khalil, Abdelouahed, Ouanan, Mohammed, Touzani, Bdelfattah (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Existence of many positive nonradial solutions for a superlinear Dirichlet problem on thin annuli.
Castro, Alfonso, Finan, Marcel B. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions
Elena Karulina (2011)
Mathematica Bohemica
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We consider the Sturm-Liouville problem with symmetric boundary conditions and an integral condition. We estimate the first eigenvalue of this problem for different values of the parameters.
Examples from the calculus of variations. III. Legendre and Jacobi conditions
Jan Chrastina (2001)
Mathematica Bohemica
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We will deal with a new geometrical interpretation of the classical Legendre and Jacobi conditions: they are represented by the rate and the magnitude of rotation of certain linear subspaces of the tangent space around the tangents to the extremals. (The linear subspaces can be replaced by conical subsets of the tangent space.) This interpretation can be carried over to nondegenerate Lagrange problems but applies also to the degenerate variational integrals mentioned in the preceding...
A second eigenvalue bound for the Dirichlet-Schrödinger equation with a radially symmetric potential.
Haile, Craig (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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A result on the bifurcation from the principal eigenvalue of the -Laplacian.
Drábek, P., Elkhalil, A., Touzani, A. (1997)
Abstract and Applied Analysis
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Green's theorem from the viewpoint of applications
Alexander Ženíšek (1999)
Applications of Mathematics
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Making use of a line integral defined without use of the partition of unity, Green’s theorem is proved in the case of two-dimensional domains with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces .