All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 19 Next

Displaying 361 – 380 of 1370

Showing per page

Existence and multiplicity of solutions for a p ( x ) -Kirchhoff type problem via variational techniques

A. Mokhtari, Toufik Moussaoui, D. O’Regan (2015)

Archivum Mathematicum

This paper discusses the existence and multiplicity of solutions for a class of p ( x ) -Kirchhoff type problems with Dirichlet boundary data of the following form - a + b ∫ Ω 1 p ( x ) | ∇ u | p ( x ) d x div ( | ∇ u | p ( x ) - 2 ∇ u ) = f ( x , u ) , i n Ω u = 0 o n ∂ Ω , where Ω is a smooth open subset of ℝ N and p ∈ C ( Ω ¯ ) with N < p - = inf x ∈ Ω p ( x ) ≤ p + = sup x ∈ Ω p ( x ) < + ∞ , a , b are positive constants and f : Ω ¯ × ℝ → ℝ is a continuous function. The proof is based on critical point theory and variable exponent Sobolev space theory.

Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities

Nikolaos Papageorgiou, Francesca Papalini (2000)

Annales Polonici Mathematici

We study eigenvalue problems with discontinuous terms. In particular we consider two problems: a nonlinear problem and a semilinear problem for elliptic equations. In order to study the existence of solutions we replace these two problems with their multivalued approximations and, for the first problem, we estabilish an existence result while for the second problem we prove the existence of multiple nontrivial solutions. The approach used is variational.

Existence and nonexistence of radial positive solutions of superlinear elliptic systems.

Abdelaziz Ahammou (2001)

Publicacions Matemàtiques

The main goal in this paper is to prove the existence of radial positive solutions of the quasilinear elliptic system⎧ -Δpu = f(x,u,v) in Ω,⎨ -Δqv = g(x,u,v) in Ω,⎩ u = v = 0 on ∂Ω,where Ω is a ball in RN and f, g are positive continuous functions satisfying f(x, 0, 0) = g(x, 0, 0) = 0 and some growth conditions which correspond, roughly speaking, to superlinear problems. Two different sets of conditions, called strongly and weakly coupled, are given in order to obtain existence. We use...

Currently displaying 361 – 380 of 1370