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Journals and Conferences
The existence of a non-trivial solution for a discrete non-linear Dirichlet problem involving p -Laplacian is investigated. The technical approach is based on a local minimum theorem for differentiable functionals due to Bonanno. Mathematics subject classification (2010): 39A10, 34B15.
Under suitable assumptions on the potential of the nonlinearity, we study the existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplacian. Our approach is based on variational methods.
The existence of three distinct weak solutions for a perturbed mixed boundary value problem involving the one-dimensional p-Laplacian operator is established under suitable assumptions on the nonlinear term. Our approach is based on recent variational methods for smooth functionals defined on reflexive Banach spaces.
In this article we consider the existence of infinitely many solutions to the fourth-order boundary-value problem u + αu′′ + β(x)u = λf(x, u) + h(u), x ∈]0, 1[ u(0) = u(1) = 0, u′′(0) = u′′(1) = 0 . Our approach is based on variational methods and critical point theory.
Using variational methods and critical point theory, we establish multiplicity results of nontrivial and nonnegative solutions for a perturbed fourth-order Kirchhoff type elliptic problem. 2014 Elsevier Inc. All rights reserved.
We establish the existence of three distinct solutions for a perturbed p-Laplacian boundary value problem with impulsive effects. Our approach is based on variational methods.
Applying two three critical points theorems, we prove the existence of at least three anti-periodic solutions for a second-order impulsive differential inclusion with a perturbed nonlinearity and two parameters.
where pi > 1 and φpi(t) = |t|pi−2t for i = 1, . . . , n, λ is a positive parameter, m, n ≥ 1 are integers, aj , bj ∈ R for j = 1, . . . ,m, and 0 < x1 < x2 < x3 < . . . < xm < 1. Here, F : [0, 1] × R → R is a function such that the mapping (t1, t2, . . . , tn) → F (x, t1, t2, . . . , tn) is in C in R for all x ∈ [0, 1], Fti is continuous in [0, 1]× R for i… (More)
We show the existence of at least one weak solution for a threepoint boundary-value problem of Kirchhoff-type. Our technical approach is based on variational methods. In addition, an example to illustrate our results is given.