1,720,995 research outputs found
Two solutions to a nonlinear Neumann problem without asymptotic conditions
We use critical point theory to establish the existence of at least two solutions to a nonlinear Neumann problem involving the one-dimensional p-Laplacian without assuming asymptotic conditions at infinity on the nonlinearity
Multiplicity results for a discrete boundary value problem via critical point theory
This paper is a survey on some recent multiplicity results, contained in [11], for a discrete boundary value problem involving the p-Laplacian via critical point theory. An overview on the abstract critical points results used to obtain them it is also given
Implicit integral equations with discontinuous nonlinearities
In this paper we establish the existence ofa t
least one solution for a class of implicit integral equations with
possibly discontinuous nonlinearities, which includes the well known Chandrasekhar equation, among others. Our approach
fully depends on a very recent result on fixed points for
increasing, not necessarily continuous, operators in ordered Banach space due to Bonanno and Marano; see Theorem 1 below
Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian
In this paper, we establish the existence of three solutions to a Neumann problem involving the p-Laplacian. The technical approach is mainly based on a three critical points theorem
Existence results for nonlocal multivalued boundary-value problems
In this paper we establish some existence results for nonlocal multivalued boundary-value problems. Our approach is based on existence results
for operator inclusions involving a suitable closed-valued multifunction; see
[2, 3]. Some applications are given
Radially symmetric weak solutions for elliptic problems in Rn
The existence of infinitely many radially symmetric weak solutions for non-autonomous elliptic problems involving the p-Laplacian in the Euclidan space R^N is investigated. The approach is based on variational method. A main ingredient of proof is the famous symmetric critically principle of Palais. A concrete example of an application is pointed out
Multiple solutions for a Navier boundary value problem involving the p-biharmonic operator
In this article, exploiting variational methods, the existence of multiple weak solutions for a class of elliptic Navier boundary problems involving the p-biharmonic operator is investigated. Moreover, a concrete example of an application is presented
Existence of two solutions for a second-order discrete boundary value problem
The existence of two nontrivial solutions for a class of nonlinear second-order discrete boundary value problems is established. The approach adopted is based on variational methods
Existence of positive solutions for nonlinear systems with a parameter
Taking advantage of a recent critical point theorem, the existence of infinitely many solutions for a nonlinear algebraic system with a parameter is established. Our goal was achieved requiring an appropriate behavior of the nonlinear term f, either at zero or at infinity, without symmetry conditions. In addition, for a suitable class of systems, a strong discrete maximum principle is presented
Radially symmetric weak solutions for Elliptic problems in R^N
The existence of infinitely many radially symmetric weak solutions for non-autonomous elliptic problems involving the p-Laplacian in the Euclidan space is investigated. The approach is based on variational method. A main ingredient of proof is the famous symmetric critically principle of Palais. A concrete example of an application is pointed out
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