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Multiplicity results for some perturbed elliptic problems in unbounded domains with non-homogeneous boundary conditions

✍ Scribed by Barile, Sara; Salvatore, Addolorata

Book ID
125857386
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
435 KB
Volume
110
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Multiple solutions for some elliptic equ
Multiple solutions for some elliptic equations with non-homogeneous boundary conditions
✍ A. Salvatore πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 377 KB

In this paper we shall state the existence of infinitely many solutions of the nonlinear elliptic equation \(-\Delta u=a(x)|u|^{q-2} u+b(x)|u|^{p-2} u+f(x)\) with nonhomogeneous boundary conditions. A suitable perturbative method and variational tools will apply to such a non-symmetric problem.

Non-classical Eigenvalue Asymptotic for
Non-classical Eigenvalue Asymptotic for Elliptic Operators of Second Order in Unbounded Trumpet-shaped Domains with Neumann Boundary Conditions
✍ GΓΌnter Berger πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 588 KB

The paper deals with spectral properties of elliptic operators of second order in irregular unbounded domains with cusps. The eigenvalue asymptotic of the operator with Neumann boundary conditions is proved. The eigenvalue asymptotic in these domains is different from that with Dirichlet boundary co