[PDF] Top 20 Uniqueness results for elliptic problems with singular data

... some uniqueness results for the Dirichlet problem for second-order elliptic equations in an unbounded open set Ω without the cone property, and with data de- pending on appropriate weight ... See full document

... The results presented in this paper are based on the uniqueness theorem of the Weyl m-function developed by Marchenko [] and introduced to deal with inverse problems with partial information by ... See full document

... We feel that the new framework of dynamic equations on time scales(an arbitrary closed subset of real numbers)[2] with facilities of the two jump op- erators with various definitions of continuity and derivatives makes ... See full document

... where g(s) is singular at s = . They obtained similar results as that of []. Moreover, Boc- cardo and Orsina in [] discussed how the summability of f and the values of α affected the existence, regularity ... See full document

... analogous problems in more general cases and with different methods (see, for instance, [–], the general survey on this subject [] and the references quoted ...the uniqueness of the solution of the ... See full document

... of elliptic equations on a bounded domain with nonlinear boundary conditions of type graph and measure - ...convergence results in the approach problem, which allow us to delete the penalization ... See full document

... value problems for elliptic partial differential equations and using a maximum principle for this problem we show uniqueness and continuous dependence on ... See full document

... linear elliptic boundary value problem, which is a new area of still fairly theoretical exploration in ...of singular boundary value problem for ordinary differential equation has led to several important ... See full document

... repulsive singular Neumann boundary value problems by using a nonlinear alternative of Leray-Schauder and Krasnosel’skii fixed-point theorem on compression and expansion of cones, and obtained the existence ... See full document

... the results told us that the equa- tions had at least single and multiple positive ...the singular fourth-order boundary value ...the uniqueness of solution in ... See full document

... where K C ∈ [0,1] , 0 < < a 1 , 0 < < η 1 , and λ is a positive parameter. The m -point boundary value problem for linear second-order ordinary diffe- rential equations was initiated by Ilin and Moiseev [1] ... See full document

... eigenvalue problems of singular quasilinear el- liptic and parabolic equations in weighted Sobolev spaces, he obtained many existence results by using Galerkin ...main results are only ... See full document

... and singular boundary value problems involving linear dif- ferential ...these singular interface problems to be discussed for the case where the problem involves nonlinear differential ... See full document

... and uniqueness results for the singular nonlocal boundary value problems involving nonlinear integral ...be singular in its dependent variable and it is allowed to change ... See full document

... time-dependent problems and we only quote as selection in the literature Kozlov 25] for parabolic problems, and Lebeau 30] for hyperbolic ...linear elliptic boundary value problem, and, even, as a ... See full document

... and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential ...and uniqueness of smooth positive solutions is given ... See full document

... Many papers and books on fractional differential equations have appeared recently. Most of them are devoted to the solvability of the linear fractional equation in terms of a special function see, e.g., 1, 2 and to ... See full document

... variational problems with nonstandard p(x)- growth conditions is a new and interesting ...these problems. Many results have been obtained on this kind of problems, for exam- ple, ... See full document

... In this paper, we will study the dependence of problem (1.1) on q, γ , f , g and Ω and evaluate the extremal value of λ related to multiplicity of positive solutions for problem (1.1). Our idea comes from [7, 28, 29]. ... See full document

... The ordinary differential equations is considered the basis of the fractional differential equations. In the last few decades, fractional order models are found to be more adequate than integer order models for some real ... See full document