Nonlinear $p$-Laplacian problems on unbounded domains
نویسندگان
چکیده
منابع مشابه
Nonlinear />laplacian Problems on Unbounded Domains
We consider the p-Laplacian problem div(a(x)|S7u\p-2Vu) + b(x)\u\p-2u = f(x, u), XGÍ2, h|öq = 0, lim u = 0, |*|-» oo where 1 < p < n , Q (C R") is an exterior domain. Under certain conditions, we show the existence of solutions for this problem via critical point theory.
متن کاملEquations of p-Laplacian Type in Unbounded Domains
This work is devoted to study the existence of solutions to equations of the p-Laplacian type in unbounded domains. We prove the existence of at least one solution, and under further assumptions, the existence of in nitely many solutions. We apply the mountain pass theorem in weighted Sobolev spaces.
متن کاملMultiplicity Results for Nonlinear Eigenvalue Problems on Unbounded Domains
In this paper we prove a multiplicity result for a class of eigenvalue problems with nonlinear boundary conditions on an unbounded domain. Many results have been obtained by Cârstea and Rădulescu [3], Chabrowski [5], [6], Kandilakis and Lyberopoulos [10], Lisei, Varga and Horváth [13] and Pflüger [16]. MSC 2000. 35J60, 35P30, 58E05.
متن کاملLp Embedding and Nonlinear Eigenvalue Problems for Unbounded Domains
Let R denote real iV-dimensional Euclidean space. Then it is a well-known fact that the imbedding of the Sobolev space Wi,2(R) in LP(R ) is bounded for 2g>pS2N/(N-2), but is definitely not compact. Consequently the theory of critical points for general isoperimetric variational problems defined over arbitrary unbounded domains in R has been little investigated despite its importance. Indeed the...
متن کاملCritical Singular Problems on Unbounded Domains
with a continuous function a and a subcritical growth function g. This type of equation includes the Makutuma equation, when a(|x|) = 1/(1 + |x|2) and g(s) = |s|p−1s, with 1 < p < 2∗ − 1 = (N + 2)/(N − 2), which appears in astrophysics and scalar curvature equations on RN (see, e.g., [15, 17, 18]) In [16] Munyamarere and Willem obtained a result of multiplicity of nodal solutions for these equa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1992
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1992-1162957-9