%0 Journal Article
%T On the solvability of a boundary value problem on the real line
%A Cupini Giovanni
%A Marcelli Cristina
%A Papalini Francesca
%J Boundary Value Problems
%D 2011
%I Springer
%X We investigate the existence of heteroclinic solutions to a class of nonlinear differential equations ( a ( x ) ¦µ ( x ¡ä ( t ) ) ) ¡ä = f ( t , x ( t ) , x ¡ä ( t ) ) , a . e . t ¡Ê   governed by a nonlinear differential operator ¦µ extending the classical p-Laplacian, with right-hand side f having the critical rate of decay -1 as |t| ¡ú +¡Þ, that is f ( t ,   ,   ) ¡Ö 1 t . We prove general existence and non-existence results, as well as some simple criteria useful for right-hand side having the product structure f(t, x, x') = b(t, x)c(x, x'). Mathematical subject classification: Primary: 34B40; 34C37; Secondary: 34B15; 34L30.
%K boundary value problems
%K unbounded domains
%K heteroclinic solutions
%K nonlinear differential operators
%K p-Laplacian operator
%K ¦µ-Laplacian operator
%U http://www.boundaryvalueproblems.com/content/2011/1/26