The application of Picone-type identity for some nonlinear elliptic differential equations.

Bognár, G.; Došlý, O.

Displaying similar documents to “The application of Picone-type identity for some nonlinear elliptic differential equations.”

The first eigenvalue of $p$ -Laplacian systems with nonlinear boundary conditions.

Kandilakis, D.A., Magiropoulos, M., Zographopoulos, N.B. (2005)

Boundary Value Problems [electronic only]

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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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Asymptotic behaviour, nodal lines and symmetry properties for solutions of superlinear elliptic equations near an eigenvalue

Dimitri Mugnai (2005)

ESAIM: Control, Optimisation and Calculus of Variations

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We give the precise behaviour of some solutions of a nonlinear elliptic B.V.P. in a bounded domain when a parameter approaches an eigenvalue of the principal part. If the nonlinearity has some regularity and the domain is for example convex, we also prove a nonlinear version of Courant’s Nodal theorem.

On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radiusof balls in $ℝ^{N}$ .

Afrouzi, Ghasem Alizadeh (2002)

International Journal of Mathematics and Mathematical Sciences

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Boundedness and monotonicity of principal eigenvalues for boundary value problems with indefinite weight functions.

Afrouzi, G.A. (2002)

International Journal of Mathematics and Mathematical Sciences

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Lower bounds for eigenvalues of the one-dimensional $p$ -Laplacian.

Pinasco, Juan Pablo (2004)

Abstract and Applied Analysis

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Finite element approximation of the first eigenvalue of a nonlinear problem for some special domains.

Bognár, Gabriella (2000)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Nonlinear homogeneous eigenvalue problem in $R^{N}$ : nonstandard variational approach

Pavel Drábek, Zakaria Moudan, Abdelfettah Touzani (1997)

Commentationes Mathematicae Universitatis Carolinae

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The nonlinear eigenvalue problem for p-Laplacian $\{\begin{matrix} - {div (a (x) | \nabla u |}^{p - 2} {\nabla u) = λ g (x) | u |}^{p - 2} u in ℝ^{N}, u > 0 in ℝ^{N}, lim_{| x | \to \infty} u (x) = 0, \end{matrix}$ is considered. We assume that $1 < p < N$ and that $g$ is indefinite weight function. The existence and $C^{1, α}$ -regularity of the weak solution is proved.