[PDF] Top 20 The existence and multiplicity of positive solutions for a class of nonlocal elliptic problems

... variational structure. Up to now, the tools to study (.) are a fixed point result with Leray- Schauder condition and the Schaefer fixed point theorem. Very recently, Alves and Covei [] established the sub-supersolution ... See full document

... a class of singular fractional differential equations with nonlocal boundary value ...The existence and multiplicity of positive solutions are derived by the fixed point index ... See full document

... Existence and concentration of positive solutions for P ∗ have been extensively studied in the recent years; see, for example, Ambrosetti et al. 2, 3, Cingolani and Lazzo 4, 5, Floer and Weinstein 6, ... See full document

... the existence, nonexistence, uniqueness, and multiplicity of positive solutions for a class of eigenvalue problems of nonlinear fractional differential equations with a nonlinear ... See full document

... a nonlocal elliptic prob- lem has already been extended to the case involving the p-Laplacian; see, ...the existence of positive solutions to a class of nonlocal boundary ... See full document

... value problems associated with p-Laplacian ...the existence of positive solutions for third order Sturm–Liouville boundary value problems with p-Laplacian operator by applying the fixed ... See full document

... the existence and multiplicity of weak solutions for problem (1) by using variational methods, for example, the nonlinear- ity f is asymptotically 3-linear at infinity (see [4, 6, 9]), the ... See full document

... the existence of at least one solution, or multiple solutions, or even infinitely many solu- tions for fourth-order boundary value problems using lower and upper solution methods, Morse theory, the ... See full document

... exists λ ∗ >  such that (.) has at least two nontrivial positive solutions for every λ ∈ (, λ ∗ ). Remark . We should mention that the above p-Laplacian problems studied in [, – ] are ... See full document

... The existence and nonexistence of entire solutions, existence of multiple positive entire solutions of ...other problems have also been treated by many other ... See full document

... a class of double phase variational integrals driven by non-homogeneous potentials, and the analysis developed in this paper extends the abstract framework corresponding to some standard differential operator with ... See full document

... problem (2.2) was studied by Mih˘ailescu and R˘adulescu in [10]. In that paper the authors present the connections between such equations and some Schr¨odinger equations with Hardy potential and show that (2.2) has a ... See full document

... a nonlocal boundary value problem for fractional differential ...some existence and multiplicity results for positive solutions with respect to a cone for our problem (S)-(BC), where f ... See full document

... [] not only improved the results in [] but also obtained that the solution was not in W  ,p () if α > p– p– . However, we need to point out that all the papers mentioned discussed the existence of ... See full document

... We should mention that Liu, Guo and Lei [] studied the existence and multiplicity of positive solutions of Kirchhoff equation with critical exponential nonlinearity. Inspired by [, ], we ... See full document

... Inspired by the above-mentioned papers, we are concerned with the existence of positive solutions of (P). The novelties in this paper are mainly two parts. First, we just assume that the nonlinear ... See full document

... “Spike-Layered Solutions with Compact Support to Some Singularly Perturbed Qua- silinear Elliptic Problems in General Smooth Domains,” Journal of Computational and Applied Mathematics, ... See full document

... the existence and multiplicity of positive solutions for an interesting nonlocal differential equation using the Cone-Compression and Cone-Expansion Theorem due to ...the ... See full document

... the existence of pos- itive solutions and some properties of solutions to ...gular elliptic systems like ...the existence and multiplicity of positive solutions ... See full document

... the existence of bounded solutions to the elliptic system −∆ p u = f (u, v) +h 1 in Ω, −∆ q v = g(u, v) + h 2 in Ω, u = v = 0 on ∂Ω, non-necessarily potential ...the existence of a negative ... See full document