Vortices in Ginzburg-Landau equations.
Weak linking theorems and Schrödinger equations with critical Sobolev exponent
In this paper we establish a variant and generalized weak linking theorem, which contains more delicate result and insures the existence of bounded Palais–Smale sequences of a strongly indefinite functional. The abstract result will be used to study the semilinear Schrödinger equation , where are periodic in for and 0 is in a gap of the spectrum of ; . If for an appropriate constant , we show that this equation has a nontrivial solution.
Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent
In this paper we establish a variant and generalized weak linking theorem, which contains more delicate result and insures the existence of bounded Palais–Smale sequences of a strongly indefinite functional. The abstract result will be used to study the semilinear Schrödinger equation , where N ≥ 4; V,K,g are periodic in xj for 1 ≤ j ≤ N and 0 is in a gap of the spectrum of -Δ + V; K>0. If for an appropriate constant c, we show that this equation has a nontrivial solution.
Weak shape formulation of free boundary problems
Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces
In the present paper, we prove the existence and uniqueness of weak solution to a class of nonlinear degenerate elliptic $p$-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the theory of weighted Sobolev spaces.
Weak solutions for some reaction-diffusion systems with balance law and critical growth with respect to the gradient
Weak solutions to general Euler's equations via nonsmooth critical point theory
Weakly sequentially continuous maps and existence principles for elliptic equations
We present a Furi-Pera type theorem for weakly sequentially continuous maps. As an application we establish new existence principles for elliptic Dirichlet problems.
Zur Abschätzung der Lösung des Dirichletschen Außenraumproblems für die Schwingungsgleichung.
Zur Konvergenz des SSOR-Verfahrens für nichtlineare Gleichungssysteme.
Асимптотика решения уравнений Пуассона-Больцмана в трехмерной области с тонкой перемычкой
Интегральный метод барьерных функций и задача Дирихле для уравнений с операторами типа Монжа-Ампера
К абстрактной теории оптимального управления системами с распределенными параметрами
К задаче Дирихле для уравнения Беллмана в плоской области
Краевая задача для одного эллиптического уравнения с вырождением внутри области
Нелокальные эллиптические задачи с параметром
О вырождающихся нелинейных эллиптических уравнениях
О задаче с косой производной
О качественных свойствах решений одного нелинейного уравнения второго порядка
О квазилинейной стационарной задаче Вентцеля