Multiple solution results for elliptic Neumann problems involving set-valued nonlinearities
نویسندگان
چکیده
منابع مشابه
Multiple results for critical quasilinear elliptic systems involving concave-convex nonlinearities and sign-changing weight functions∗
This paper is devoted to study the multiplicity of nontrivial nonnegative or positive solutions to the following systems −4pu = λa1(x)|u|q−2u + b(x)Fu(u, v), in Ω, −4pv = λa2(x)|v|q−2v + b(x)Fv(u, v), in Ω, u = v = 0, on ∂Ω, where Ω ⊂ R is a bounded domain with smooth boundary ∂Ω; 1 < q < p < N , p∗ = Np N−p ; 4pw = div(|∇w|p−2∇w) denotes the p-Laplacian operator; λ > 0 is a positive pa...
متن کاملWell-posed elliptic Neumann problems involving irregular data and domains
Nonlinear elliptic Neumann problems, possibly in irregular domains and with data affected by low integrability properties, are taken into account. Existence, uniqueness and continuous dependence on the data of generalized solutions are established under a suitable balance between the integrability of the datum and the (ir)regularity of the domain. The latter is described in terms of isocapacita...
متن کاملLower semicontinuity for parametric set-valued vector equilibrium-like problems
A concept of weak $f$-property for a set-valued mapping is introduced, and then under some suitable assumptions, which do not involve any information about the solution set, the lower semicontinuity of the solution mapping to the parametric set-valued vector equilibrium-like problems are derived by using a density result and scalarization method, where the constraint set $K$...
متن کاملOptimality conditions for various efficient solutions involving coderivatives: from set-valued optimization problems to set-valued equilibrium problems
In this paper, we present a new approach to the study of various efficient solutions of a set-valued equilibrium problem (for short, SEP) through the study of corresponding solutions of a set-valued optimization problem with a geometric constraint (for short, SOP). The solutions under consideration are: efficient solutions, weakly efficient solutions, strongly efficient solutions, and properly ...
متن کاملSome Results about Set-Valued Complementarity Problem
This paper is devoted to consider the notions of complementary problem (CP) and set-valued complementary problem (SVCP). The set-valued complementary problem is compared with the classical single-valued complementary problem. Also, the solution set of the set-valued complementary problem is characterized. Our results illustrated by some examples. This paper is devoted to co...
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: Journal of Mathematical Analysis and Applications
سال: 2011
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.10.029