Multiple solutions for a p-Laplacian elliptic problem
نویسندگان
چکیده
منابع مشابه
Infinitely Many Solutions for a Steklov Problem Involving the p(x)-Laplacian Operator
By using variational methods and critical point theory for smooth functionals defined on a reflexive Banach space, we establish the existence of infinitely many weak solutions for a Steklov problem involving the p(x)-Laplacian depending on two parameters. We also give some corollaries and applicable examples to illustrate the obtained result../files/site1/files/42/4Abstract.pdf
متن کاملExistence solutions for new p-Laplacian fractional boundary value problem with impulsive effects
Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...
متن کاملMULTIPLE NONNEGATIVE SOLUTIONS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS INVOLVING THE p -LAPLACIAN
In this paper we present a result concerning the existence of two nonzero nonnegative solutions for the following Dirichlet problem involving the p -Laplacian ( −∆pu = λf(x, u) in Ω, u = 0 on ∂Ω, using variational methods. In particular, we will determine an explicit real interval Λ for which these solutions exist for every λ ∈ Λ. We also point out that our result improves and extends to higher...
متن کاملMultiple Solutions for a Class of p(x)-Laplacian Systems
Since the space L x and W1,p x were thoroughly studied by Kováčik and Rákosnı́k 1 , variable exponent Sobolev spaces have been used in the last decades to model various phenomena. In 2 , Růžička presented the mathematical theory for the application of variable exponent spaces in electro-rheological fluids. In recent years, the differential equations and variational problems with p x -growth cond...
متن کاملMULTIPLE SOLUTIONS FOR A DIRICHLET PROBLEM WITH p-LAPLACIAN AND SET-VALUED NONLINEARITY
The existence of a negative solution, of a positive solution, and of a sign-changing solution to a Dirichlet eigenvalue problem with p-Laplacian and multi-valued nonlinearity is investigated via suband supersolution methods as well as variational techniques for nonsmooth functions. 2000 Mathematics subject classification: 35J20, 35J85, 49J40.
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: Boundary Value Problems
سال: 2014
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2014-124