A global bifurcation result of a Neumann problem with indefinite weight.
Boundary eigencurve problems involving the -Laplacian operator.
Existence and regularity of positive solutions for an elliptic system.
Bifurcation of nonlinear elliptic system from the first eigenvalue.
On the spectrum of the -biharmonic operator.
Stability of the principal eigenvalue of a nonlinear elliptic system.
Simplicity and stability of the first eigenvalue of a nonlinear elliptic system.
A nonlinear boundary problem involving the -bi-Laplacian operator.
On the principal eigencurve of the p-Laplacian related to the Sobolev trace embedding
We prove that for any λ ∈ ℝ, there is an increasing sequence of eigenvalues μₙ(λ) for the nonlinear boundary value problem ⎧ in Ω, ⎨ ⎩ on crtial ∂Ω and we show that the first one μ₁(λ) is simple and isolated; we also prove some results about variations of the density ϱ and the continuity with respect to the parameter λ.
On the spectrum of the p-biharmonic operator involving p-Hardy's inequality
In this paper, we study the spectrum for the following eigenvalue problem with the p-biharmonic operator involving the Hardy term: in Ω, . By using the variational technique and the Hardy-Rellich inequality, we prove that the above problem has at least one increasing sequence of positive eigenvalues.
On the p-biharmonic operator with critical Sobolev exponent
We study the existence of solutions for a p-biharmonic problem with a critical Sobolev exponent and Navier boundary conditions, using variational arguments. We establish the existence of a precise interval of parameters for which our problem admits a nontrivial solution.
A Weighted Eigenvalue Problems Driven by both -Harmonic and -Biharmonic Operators
The existence of at least one non-decreasing sequence of positive eigenvalues for the problem driven by both -Harmonic and -biharmonic operators is proved by applying a local minimization and the theory of the generalized Lebesgue-Sobolev spaces and .
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