[PDF] Top 20 Multiplicity of positive solutions for eigenvalue problems of (p,2)-equations

... for all ζ ∈ R, the function z – → f (z, ζ ) is measurable and for almost all z ∈ , the func- tion ζ – → f (z, ζ ) is continuous), which exhibits strictly (p – )-sublinear growth in the ζ -variable near + ∞ . The ... See full document

... of problems considered in the present article are that they involve the nonlocal coefficient ...weak solutions for the p(x)-Laplacian equa- ...Neumann problems involving the ...when p ≠ ... See full document

... f : [, ] × [, +∞) → [, +∞) is continuous. By means of the properties of the Green’s function, Leggett-Williams fixed-point theorems and fixed-point index theory, we estab- lish the existence of at least two or at least ... See full document

... Boundary-value problems with integral boundary conditions for ordinary differential equations represent a very interesting and important class of ...boundary-value problems as special ... See full document

... 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, Oh 7–9, ... See full document

... differential equations have been of great ...with p-Laplacian have been subject to a lot of research [, ...and multiplicity of solutions for boundary value problems of fractional ... See full document

... value problems associated with ordinary differential equations were studied by many authors [14, 1, 2] and extended to p-Laplacian boundary value prob- lems [4, 22, ...value problems ... See full document

... Such problems are usually referred in the literature as semipositone ...nonpositone problems, in contrast with the terminology positone problems, coined by Keller and Cohen in 2, when the ... See full document

... of positive solutions of boundary value problems has been studied by many authors in [–] and references ...of p(x) ≡  and q(x) ≡ . In [], the authors studied positive ... See full document

... Section 2, we introduce well-known theorems such as the global continuation theorem, the generalized Picone identity, and a fixed point index theorem for the index ...one-dimensional p-Laplacian ... See full document

... nontrivial positive solutions for every λ ∈ (, λ ∗ ...above p-Laplacian problems studied in [, – ] are all not (p – )-sublinear at ... See full document

... and multiplicity of positive solutions for a class of eigenvalue problems of nonlinear fractional differential equations with a nonlinear integral term and a disturbance parameter ... See full document

... It is well known that the cone plays a very important ... role in applying the Green function in research area. In [7], the authors cannot acquire a positive constant taken instead of the role of positive ... See full document

... two equations that include non-local terms have also been considered ...parabolic problems are also of great interest in reaction-diffusion theory; see 5–7 where the approach to existence and blow-up for ... See full document

... where p is a strictly positive absolutely continuous ...Such equations, even in the case p ≡ , where they are referred to as being of Schrödinger or Klein-Gordon type, ap- pear in many ... See full document

... we illustrate in an example that all the constants that occur in our results can be computed. Our approach is to seek solutions of system (.)-(.) as fixed points of a suitable integral operator. We make use of ... See full document

... In this work, relationship between existence of solutions for classes of nonlinear boundary value problems with equations of the form 1.1 and the smallest.. or the largest eigenvalue of [r] ... See full document

... and multiplicity 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) ≥ , ... See full document

... periodic solutions of the well-known Camassa-Holm equation have been studied by some specialists, see ...periodic problems. Recently, Ma et al. [, ] studied the existence of positive ... See full document

... Difference equations, the discrete analog of differential equations, have been widely used in many fields such as computer science, economics, neural network, ecology, cybernet- ics, ...of positive ... See full document