Editorials' note
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
In this paper, we extend the reduced-basis approximations developed earlier for linear elliptic and parabolic partial differential equations with affine parameter dependence to problems involving (a) nonaffine dependence on the parameter, and (b) nonlinear dependence on the field variable. The method replaces the nonaffine and nonlinear terms with a coefficient function approximation which then permits an efficient offline-online computational decomposition. We first review the coefficient function...
Eigencurves of the -Laplacian with weights and their asymptotic behavior.
Eigenvalue problems and bifurcation of nonhomogeneous semilinear elliptic equations in exterior strip domains.
Eigenvalue problems for a quasilinear elliptic equation on .
Ein nichtlineares Schwingungsproblem mit gemischter linearer Randbedingung.
Ein optimaler Reularitätssatz für schwache Lösungen gewisser elliptischer Systeme.
Ein Regularitätssatz für Systeme nichtlinearer elliptischer Differentialgleichungen.
Eine Bemerkung zur Regularität stationärer Punkte von konform invarianten Variationsintegralen.
Einige neue innere Abschätzungen für nichtlineare elliptische Gleichungen und Systeme.
Elastic behavior of a two--dimensional lattice beam.
Elliptic and degenerate-elliptic operators in unbounded domains
Elliptic Equations and Maps of Bounded Length Disortion.
Elliptic equations with measure data in Orlicz spaces.
Elliptic Equations with Noninvertible Fredholm Linear Part and Bounded Nonlinearities.
Elliptic equations with one-sided critical growth.
Elliptic problems in generalized Orlicz-Musielak spaces
We consider a strongly nonlinear monotone elliptic problem in generalized Orlicz-Musielak spaces. We assume neither a Δ2 nor ∇2-condition for an inhomogeneous and anisotropic N-function but assume it to be log-Hölder continuous with respect to x. We show the existence of weak solutions to the zero Dirichlet boundary value problem. Within the proof the L ∞-truncation method is coupled with a special version of the Minty-Browder trick for non-reflexive and non-separable Banach spaces.
Elliptic problems with nonmonotone discontinuities at resonance.
Embedding theorems into lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations.
Energy and Morse index of solutions of Yamabe type problems on thin annuli
We consider the Yamabe type family of problems , in , on , where is an annulus-shaped domain of , , which becomes thinner as . We show that for every solution , the energy as well as the Morse index tend to infinity as . This is proved through a fine blow up analysis of appropriate scalings of solutions whose limiting profiles are regular, as well as of singular solutions of some elliptic problem on , a half-space or an infinite strip. Our argument also involves a Liouville type theorem...