[PDF] Top 20 Positive solutions of an asymptotically planar system of elliptic boundary value problems

... We will prove an existence result of positive solutions for an asymptotically planar system of two elliptic equations.. It will be used as main tools for a Maximum Principle and a result[r] ... See full document

... of positive solutions of some elliptic equations, notably the symmetry of ...for positive solutions of non- linear elliptic ...of problems by many ...of solutions ... See full document

... initial value problems of FDE involving Riemann-Liouville differential operator has been discussed by Lakshmikantham 5–7, El-Sayed et ...of solutions for nonlinear FDE boundary value ... See full document

... of positive solutions for (S)-(BC) has been studied in [] by using the Guo-Krasnosel’skii fixed point ...of positive solutions of the system (S) with λ = μ = , f (t, u, v) = f ˜ (t, ... See full document

... of positive solutions of problem ...a positive solution of problem (S)-(BC) we mean a pair of functions (u, v) ∈ C([, ]) × C([, ]) satisfying (S) and (BC) with u(t) ≥ , v(t) ≥  for all t ∈ [, ... See full document

... In recent years, there have been many papers con- cerned with the existence and multiplicity of positive solutions for semilinear elliptic problems. Some interest- ing results can be found in ... See full document

... one positive solution for a coupled system of higher order two-point fractional order boundary value problems under suitable ... See full document

... a positive solution of (S)-(BC), which completes the proof of Theorem .. In a similar manner as we proved Theorem ., we obtain the following theorems. Theorem . Assume that λ = μ, and (H), (H), and (H) ... See full document

... 3. de Figueiredo, DG: Semilinear elliptic systems: a survey of superlinear problems. Resenhas 2, 373-391 (1996) 4. de Figueiredo, DG, Felmer, PL: On superquadratic elliptic systems. Trans. Am. Math. ... See full document

... the system for nonlinear fourth- order di ff erential ...the positive solutions and the multiple positive solutions for singular and nonsingular system of nonlinear fourth-order ... See full document

... of positive solutions for a coupled system of nonlinear three-point boundary value problems of the type − x t f t, x t , y t , t ∈ 0, 1 , − y t g t, x t , y t , t ∈ 0, 1 , x0 y0 ... See full document

... In this paper, we investigate the existence of positive solutions for an infinite system of fractional order boundary value problems in a Banach sequence space c. Our analysis ... See full document

... one positive so- lution. By a positive solution of problem (S)-(BC) we mean a pair of functions (u, v) ∈ C([, ]) × C([, ]) satisfying (S) and (BC) with u(t) ≥ , v(t) ≥  for all t ∈ [, ] and u(t) ... See full document

... There have been many papers concerned with similar problems at resonance under the boundary condition; see [–]. Moreover, some multiplicity theorems are obtained by the topological degree technique and ... See full document

... (see, e.g., [1] or [5]). Henceforth, we will assume that, unless otherwise stated, integrals are over Ω. When J is bounded below on X, J has a minimizer on X which is a critical point of J. In many problems such ... See full document

... nonlinear problems from computer science, eco- nomics, mechanical engineering, control systems, biological neural networks, and others leads to the consideration of nonlinear difference equations (see [2, 4, 21, ... See full document

... of positive solutions is established for boundary value problems defined within generalized Riemann–Liouville and Caputo fractional ...proposed problems into integral equations, ... See full document

... Owing to its importance in physics and engineering, the existence of solutions to this problem has been studied by many authors, see 1–10. However, in practice, only its positive solution is significant. In ... See full document

... In recent years, there has been considerable progress on the study of semipositione problems (F (0) < 0 but finite)(see [2],[3],[6]). Many results have been obtained on kind of infinite semipositone ... See full document

... Lidstone problems. We show that the solvability of these problems is reduced to the existence of a fixed point of an operator ...of solutions to auxiliary problems are also investigated ...a ... See full document