[PDF] Top 20 Existence and multiplicity of solutions for problems involving the Dirac operator

... innity. The Coulomb potential considered is very important because it represents an interaction with an eletric eld due to a point ...Observing the properties obtained in the spectral structure ... See full document

... version of Bolzano’s theorem and the existence of ex- tremal fixed points for a suitable ...However the new boundary functions assumed here, (4) and (5), require other ... See full document

... ROCHA, AND VASILE STAICU ...function. The nonlinear differential operator includes as special case the ...show the existence of at least three nontrivial smooth ...Two ... See full document

... theory of multi-point boundary value problems for ordinary differential equa- tions arise in different areas of applied mathematics and physics, especially in heat conduction [4, 5, 27, 29], ... See full document

... R and p : [0, 1] → R + continuous functions, s ∈ R, under several two-point separated boundary ...An existence and location result will be proved, by degree theory, for s ∈ R such that there exist ... See full document

... equations. The arguments used were suggested by several papers namely [2], applied to second order periodic problems, [10], to third order three points boundary value problems, [1] for two-point ... See full document

... The method applied makes use of the lower and upper solutions technique and it was chosen by the following features: it provides an uni cation for the higher order problems, as up to now[r] ... See full document

... 𝑝𝑝-Laplacian problems for differential equations and �nite difference equations have been studied extensively (see, ...[13] and references therein). Although many existence results for dynamic ... See full document

... follow the technique suggested by ...equations, the lower and upper solutions method, a sharp version of Bolzano’s theorem and the existence of extremal ... See full document

... refer the reader to [1–3], [4, 10, 12–15] and the references contained ...therein. The integrodifferential equation with nonlocal conditions has been investigated exten- ...some of ... See full document

... generators of the stable L´ evy processes [1]. One can find also problems involving the fractional Laplace in mechanics and in elastostatics [3] or fluid dynamics ...Laplace ... See full document

... [9] and Sun [17]. Cingolani-Degiovanni [8] and Cingolani-Vannella [9] prove only existence theorems, while Sun [17] proves a ”three solutions theorem” under the condition that f ∈ C 1 ( ... See full document

... clearness of arguments the dependence of solution on s will be discussed in [0, 1] , without loss of ...generality. The obvious modifications must be considered in the ... See full document

... to the growth of nonlinearities involved in problem, we prove the existence of two distinct nontrivial solutions for the case of constant exponents and ... See full document

... type of problems has several applications such as in beam theory to study the bending of different types of support at the end ...model of the human spine, used in ... See full document

... Equations of this type arise in existence problems of stationary anisotropic solutions for the Schrödinger equation [], in theory of non-Newtonian fluids [], in ... See full document

... Positive solutions for the p-Laplacian and bounds for its first eigenvalue, submitted for ...positive solutions of nonlocal and nonvariational elliptic problems, Nonlinear ... See full document

... for every u and v belonging to X. This actually implies that T is a uniformly monotone in X. In addition, standard arguments ensure that T also appears to be coercive and hemicontinuos in X. Therefore, ... See full document

... point of view, the results in the literature for problem ( 1 )-( 2 ) are improved because the nonlinearity can be unbounded from above or from below, following arguments suggested by [ 3 , 4 ... See full document

... 1) and a is a positive measurable function in (0, 1) satisfying some appropriate assumptions related to the Karamata ...means of fixed point methods combined with Karamata regular variation ... See full document