Multiple solutions ofp-biharmonic equations with Navier boundary conditions
نویسندگان
چکیده
منابع مشابه
Multiple solutions for a perturbed Navier boundary value problem involving the $p$-biharmonic
The aim of this article is to establish the existence of at least three solutions for a perturbed $p$-biharmonic equation depending on two real parameters. The approach is based on variational methods.
متن کاملmultiple solutions for a perturbed navier boundary value problem involving the $p$-biharmonic
the aim of this article is to establish the existence of at least three solutions for a perturbed $p$-biharmonic equation depending on two real parameters. the approach is based on variational methods.
متن کاملINFINITELY MANY SOLUTIONS FOR A CLASS OF P-BIHARMONIC PROBLEMS WITH NEUMANN BOUNDARY CONDITIONS
The existence of infinitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic operator with nonhomoge- neous Neumann boundary conditions. Using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous Neumann boundary conditions, we obtain the result.
متن کاملMultiple Solutions for Biharmonic Equations with Asymptotically Linear Nonlinearities
Ruichang Pei1, 2 1 Center for Nonlinear Studies, Northwest University, Xi’an 710069, China 2 Department of Mathematics, Tianshui Normal University, Tianshui 741001, China Correspondence should be addressed to Ruichang Pei, [email protected] Received 26 February 2010; Revised 2 April 2010; Accepted 22 April 2010 Academic Editor: Kanishka Perera Copyright q 2010 Ruichang Pei. This is an open access ...
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We study the weak boundary layer phenomenon of the Navier-Stokes equations with generalized Navier friction boundary conditions, u ·n = 0, [S(u)n] tan +Au = 0, in a bounded domain in R when the viscosity, ε > 0, is small. Here, S(u) is the symmetric gradient of the velocity, u, and A is a type (1, 1) tensor on the boundary. When A = αI we obtain Navier boundary conditions, and when A is the sha...
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ژورنال
عنوان ژورنال: Complex Variables and Elliptic Equations
سال: 2012
ISSN: 1747-6933,1747-6941
DOI: 10.1080/17476933.2012.734301