[PDF] Top 20 Solvability for boundary value problem of the general Schrödinger equation with general superlinear nonlinearity

... sublinear Schrödinger equations with lack of ...Dirichlet problem for the stationary Schrödinger frac- tional Laplacian equation posed in a bounded domain with zero outside ...of ... See full document

... single equation, there are a few works considering the perturbed elliptic systems; see [, –] and references ...Neumann boundary, and V(x) ≡  appeared in [] by means of a dual variational ... See full document

... Neumann boundary value problem for the fractional p-Laplacian ...the nonlinearity, we obtain a new result on the existence of solutions by using the continuation theorem of coincidence degree ... See full document

... singular Schrödinger-type boundary value problems under a general sublin- ear condition or a general superlinear condition involving the principal eigenvalue of the ... See full document

... anti-periodic boundary value problem for a coupled system of the fractional p-Laplacian ...the nonlinearity, a new existence result is obtained by using the Schaefer fixed point ... See full document

... Dirichlet problem for a polyharmonic equation, making use of the ex- plicit form of the Green function found in ...Neumann problem (), () to the considered Dirichlet problem, we give the ... See full document

... The general linear boundary value problem for an abstract functional differential equation is considered in the case that the number of boundary conditions is greater than the ... See full document

... the solvability for general nth-order right fo- cal boundary value problems ...the nonlinearity of f in our problem allows up to the superlinear growth ... See full document

... such Schrödinger equations with a superlinear Neumann boundary value problem have gained a lot of interest in recent years, in particular in the context of systems for the mean field ... See full document

... initial boundary value for the Schrödinger equation in cylinders with base containing conical points was established in ...a problem for parabolic systems was studied in Sobolev spaces ... See full document

... the equation of problem (.) is more general than the classic Sturm-Liouville differential operator where a, b ∈ C[, ] are ...the solvability of singular boundary value ... See full document

... is considered under the condition a(r) = O(r 2 a ), a >1, as r ® 0. In the same study, Ψ (x) is some matrix entries of which are decreasing as x ® 0, and h is a given vector func- tion smooth on the unit sphere. It is ... See full document

... INTRODUCTION Fourth order boundary value problems arise in the study of the equilibrium of an.. elastic beam under an external load, e.g., see.[r] ... See full document

... Global Solvability of Boundary Value Problem for a Class of Quasilinear Hyperbolic Equations, Sib.. On The Strongly Damped Wave Equation u" Au Au’ + Fu O, SIAMJ.[r] ... See full document

... A boundary value problem is said to be a resonance one if the corresponding homoge- neous boundary value problem has a non-trivial ...as boundary value problems ... See full document

... thermoelasticity problem for a two-dimensional orthotropic material. A boundary value problem consists of the equations of motion and heat conduction attributing ut Party or, respectively, ... See full document

... Gupta, “Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation,” Journal of Mathematical Analysis and Applications, vol.. Tsamatos[r] ... See full document

... Remark. We note that for α = −1 the function G is symmetric. Also, we had chosen the positive semi axis t = 0 instead of s = f (t), we would have had y = x as a part of the boundary of T . If, in addition, datum ... See full document

... Multipoint boundary value problems for second-order ordinary differential equations arise in many areas of applied mathematics and physics; see 1–3 and references ...three-point boundary value ... See full document

... It is well known that the measure of noncompactness is a very powerful tool to deal with differential equations [–], difference equations [–], integration equations [], and differential inclusions [, ]. So, in ... See full document