[PDF] Top 20 Existence results for classes of infinite semipositone problems

... Cui, S: Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems. Nonlinear Anal[r] ... See full document

... the existence of a positive solution for large λ > ...challenging semipositone case c > 0. Semipositone problems have been of great interest during the past two decades, and continue to ... See full document

... two classes of variational-like inequalities with generalized monotone mappings in Banach ...the existence of solutions for variational-like inequalities with relaxed monotone mappings in reflexive Banach ... See full document

... the existence and uniqueness of solutions to first-order boundary value problems for impulsive functional differential equations with infinite de- ...the results is ... See full document

... the existence of at least one positive solution to a class of singular semipositone coupled system of nonlocal boundary value ...and results generalize and extend some previous ... See full document

... The following theorem yields a better result. Indeed, when X is infinite dimensional, the function x → kxk is not weakly upper semicontinuous, since otherwise the weak and strong topologies coincide. Hence the ... See full document

... Initial-value problems for a semi-linear differential operator equa- tions with singular linear part are ...The existence of the infinite B−chains for the characteristic sheaf λA + B is ...The ... See full document

... Fractional differential equations arise in many engineering and scientific disciplines as the mathemati- cal modeling of systems and processes in the fields of physics, chemistry, aerodynamics, electrodynamics of a ... See full document

... the results of [3,13] to a broader class of nonlinear boundary value problems in a general Banach ...the problems are called semipositone problems, which occur in chemical rector ... See full document

... The main results of this paper are stated in Section . In Theorem ., sufficient condi- tions are established in order that (.)-(.) has at least one solution on [, ∞), whereas Theorem . provides sufficient ... See full document

... in infinite dimensional spaces the condition int C ( x ) 6= ; can be a restrictive as- sumption (for instance, in the Lebesgue space L 2 , the cone of functions that are nonnegative almost everywhere is closed and ... See full document

... the existence and uniqueness of positive solutions for two classes of nonlinear perturbed Neumann boundary value problems for second-order differential ...value problems obtained are very ... See full document

... implies that J has infinite critical points. If inf{J(u), u Î W 1,p (Ω)} < 0 then by Lemma 2.3, J has at least two nontrivial critical points. Hence problem (1.1) has at least two nontrivial solutions in W 1,p ... See full document

... the existence of multiple positive solutions for the above Sturm-Liouville boundary value problems for second order differential ...the existence of three positive ...the results of the ... See full document

... model problems from many areas of science and engi- neering, wherein, quite often the future state of such systems depends not only on the present state but also on its past history (delay) leading to stochastic ... See full document

... the existence of one and three positive so- lutions for the BVP ...various existence theorems are obtained for Sturm-Liouville boundary value problems with homogeneous boundary conditions, ... See full document

... semipositione problems (F (0) < 0 but finite)(see [2],[3],[6]). Many results have been obtained on kind of infinite semipositone problems; see for example [7], [8], [9] and ... See full document

... We note that property 4 above says that a local minimum or local maximum of ϕ is a critical point of ϕ. Finally, we point out that many of the results of the classical critical point theory have been extended by ... See full document

... It is well documented in the literature that the study of positive solution is very chal- lenging in the semipostone case. See [5] where positive solution is obtained for large λ when f is p-sublinear at infinity. In ... See full document

... The existence results of generalized fractional boundary value problem are discussed in this paper by using several fixed point ...value problems studied in this paper are more general, and it is ... See full document