Bifurcation of nonlinear elliptic system from the first eigenvalue.

El Khalil, Abdelouahed; Ouanan, Mohammed; Touzani, Bdelfattah

Displaying similar documents to “Bifurcation of nonlinear elliptic system from the first eigenvalue.”

A global bifurcation result of a Neumann problem with indefinite weight.

El Khalil, Abdelouahed, Ouanan, Mohammed (2004)

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

Similarity:

A result on the bifurcation from the principal eigenvalue of the $A p$ -Laplacian.

Drábek, P., Elkhalil, A., Touzani, A. (1997)

Abstract and Applied Analysis

Similarity:

Bifurcation for some semilinear elliptic equations when the linearization has no eigenvalues

Wolfgang Rother (1993)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We prove existence and bifurcation results for a semilinear eigenvalue problem in $ℝ^{N}$ $(N \geq 2)$ , where the linearization — has no eigenvalues. In particular, we show that under rather weak assumptions on the coefficients $λ = 0$ is a bifurcation point for this problem in $H^{1}, H^{2}$ and $L^{p}$ $(2 \leq p \leq \infty)$ .

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]

Similarity:

Existence and bifurcation results for a class of nonlinear boundary value problems in $(0, \infty)$

Wolfgang Rother (1991)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We consider the nonlinear Dirichlet problem $- u^{''} - r (x) {| u |}^{σ} u = λ u in (0, \infty), u (0) = 0 and lim_{x \to \infty} u (x) = 0,$ and develop conditions for the function $r$ such that the considered problem has a positive classical solution. Moreover, we present some results showing that $λ = 0$ is a bifurcation point in $W^{1, 2} (0, \infty)$ and in $L^{p} (0, \infty) (2 \leq p \leq \infty)$ .

Positive solution for the elliptic problems with sublinear and superlinear nonlinearities.

Yuan, Chunmei, Guo, Shujuan, Tong, Kaiyu (2010)

Mathematical Problems in Engineering

Similarity:

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

Similarity:

Displaying similar documents to “Bifurcation of nonlinear elliptic system from the first eigenvalue.”

A global bifurcation result of a Neumann problem with indefinite weight.

A result on the bifurcation from the principal eigenvalue of the A p -Laplacian.

Bifurcation for some semilinear elliptic equations when the linearization has no eigenvalues

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

Existence and bifurcation results for a class of nonlinear boundary value problems in ( 0 , ∞ )

Positive solution for the elliptic problems with sublinear and superlinear nonlinearities.

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

A result on the bifurcation from the principal eigenvalue of the $A p$ -Laplacian.

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

Existence and bifurcation results for a class of nonlinear boundary value problems in $(0, \infty)$

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