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Global structure of positive solutions for a fourth-order boundary value problem with singular data

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

We are concerned with a problem described the deformation of a simply supported beam of the form { u((4)) (x) + c(x)u(x) + Sigma(p)(i=1) c(i)delta(x-x......

Schrödinger equation with singular position dependent mass

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

We consider the Schrodinger equation with singular position dependent effective mass and prove that it is very weakly well posed. A uniqueness result ......

Global existence, asymptotic stability and blow up of solutions for a nonlinear viscoelastic plate equation involving (p(x); q(x))-Laplacian operator

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

This study aims at investigating the global existence, asymptotic stability and blow up of solutions for a nonlinear viscoelastic fourth-order (p(x), ......

On Korpelevich's extragradient algorithm

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

We provide quantitative results on the convergence of the extragradient algorithm of Korpelevich in the form of a computable and highly uniform rate o......

Sign changing solutions for critical double phase problems with variable exponent

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

In this paper, we deal with a double phase problem with variable exponent and a righthand side consisting of a Caratheodory perturbation defined only ......

Cocompact embedding theorem for functions of bounded variation into Lorentz spaces

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

We show that the embedding BV(R-N) -> L-1*,L-q(RN), q > 1 is cocompact with respect to the group and the profile decomposition for BV(R-N). This......

Real interpolations for martingale Hardy-Orlicz-Lorentz spaces

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

The purpose of this paper is to provide a new proof of real interpolations for martingale Hardy-Orlicz-Lorentz spaces. Different from the usual proof,......

Fractional differentiability for elliptic double obstacle problems with measure data

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

We consider elliptic double obstacle problems involving p-Laplacian type operators and measure data. We prove maximal fractional differentiability res......

Multi-layered tumor cell cultures with almost periodic nutrient supply

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

Modeling of multi-layered cell cultures (MCC) assume flat geometry in a 3D tumor growth model. Some results available in the time-dependent framework ......

Existence of standing and traveling waves in quantum hydrodynamics with viscosity

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

In this paper, we consider two quantum hydrodynamics systems with linear and nonlinear viscosity. For the former, we prove existence of standing waves......

Characterization theorem for strict third-degree semiclassical forms of class one obtained via cubic decomposition

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

Based on their third-degree character, we give a complete description of a large family of semiclassical forms of class one. A characterization theore......

Local grand variable exponent Lebesgue spaces

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

We introduce local grand variable exponent Lebesgue spaces, where the variable exponent Lebesgue space is aggrandized only at a given closed set F of ......

Can one recognize a function from its graph?

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023; 42 (1-2)

We analyse the interplay between analytical properties of a real function on a metric space, on the one hand, and topological properties of its graph,......

A Kirchhoff p(x)-Biharmonic Problem Involving Singular Nonlinearities and Navier Boundary Conditions

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2021; 40 (2)

The aim of this work is to study the existence of weak solutions for a nonhomogeneous singular p(x)-Kirchhoff problem of the following form (P +/-lamb......

Existence of Solutions to the A-Laplace System via Young Measures

期刊: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2021; 40 (3)

We study the existence of solutions for the A-Laplace system of the form {-Delta(A)u = f in Omega, u = 0 on partial derivative Omega, where -Delta(A)u......

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