Limit cases in an elliptic problem with a parameter-dependent boundary condition

Jorge García-Melián, Julio D. Rossi, José C. Sabina de Lis

Type: Article

Publication Date: 2011-01-01

Citations: 5

DOI: https://doi.org/10.3233/asy-2011-1035

Abstract

In this work we discuss existence, uniqueness and asymptotic profiles of positive solutions to the quasilinear problem � −Δpu + a(x)u p−1 = −u r in Ω, |∇u| p−2 ∂u = λu p−1 on ∂Ω

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+	Simplicité et isolation de la première valeur propre du p-laplacien avec poids	1987	Aomar Anane J. L. Lions
+	Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems	1990	Michaël Struwe
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+	Linear and quasilinear elliptic equations	1968	O. A. Ladyzhenskai︠a︡ N. N. Uraltseva
+	Boundary regularity for solutions of degenerate elliptic equations	1988	Gary M. Lieberman
+ PDF Chat	Isolation and simplicity for the first eigenvalue of the <i>p</i>‐Laplacian with a nonlinear boundary condition	2002	Sandra Martı́nez Julio D. Rossi
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+	Quasilinear elliptic equations with boundary blow-up	1996	Jerk Matero