Nonlinear Differential Equations and Applications NoDEA
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Solutions of a quasilinear Schrödinger–Poisson system with linearly bounded nonlinearities
Nonlinear Differential Equations and Applications NoDEA - - 2024
Boundary regularity of stationary critical points for a Cosserat energy functional
Nonlinear Differential Equations and Applications NoDEA - Tập 30 - Trang 1-22 - 2022
In this paper, we will discuss the boundary regularity of stationary critical points for the following Cosserat energy functional:
0.1
$$\begin{aligned} {\textrm{Coss}}(\phi , R)=\int _\Omega \big (|R^t\nabla \phi -I_3|^2+|\nabla R|^p+\langle \phi -x, f\rangle +\langle R, M\rangle \big )\,dx, \end{aligned}$$
...... hiện toàn bộ
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains
Nonlinear Differential Equations and Applications NoDEA - Tập 30 - Trang 1-27 - 2023
This paper is devoted to study a fractional Choquard problem with slightly subcritical exponents on bounded domains. When the exponent of the convolution type nonlinearity tends to the fractional critical one in the sense of Hardy–Littlewood–Sobolev inequality, we obtain the existence of multiple positive solutions via Lusternik–Schnirelmann category and nonlocal global compactness. Moreover, we p...... hiện toàn bộ
Multiple solutions of higher topological type for semiclassical nonlinear Schrödinger equations
Nonlinear Differential Equations and Applications NoDEA - - 2021
Conditions of boundary layer separation for Boussinesq equations
Nonlinear Differential Equations and Applications NoDEA - Tập 30 - Trang 1-15 - 2023
In this paper, we analyze structural bifurcation of solutions to 2-D incompressible Boussinesq equations, where no-slip boundary condition for velocity and nonhomogenous Dirichlet boundary condition for temperature are considered. We get two conditions for boundary layer separation by Taylor expansion of the functions in Boussinesq equations and structural bifurcation theory for flows with Dirichl...... hiện toàn bộ
A two-gradient approach for phase transitions in thin films
Nonlinear Differential Equations and Applications NoDEA - Tập 20 - Trang 1631-1682 - 2013
Motivated by solid-solid phase transitions in elastic thin films, we perform a Γ-convergence analysis for a singularly perturbed energy related to second order phase transitions in a domain of vanishing thickness. Under a two-wells assumption, we derive a sharp interface model with an interfacial energy depending on the asymptotic ratio between the characteristic length scale of the phase transiti...... hiện toàn bộ
Critical exponent for semi-linear wave equations with double damping terms in exterior domains
Nonlinear Differential Equations and Applications NoDEA - Tập 26 - Trang 1-25 - 2019
In this paper, we consider wave equations with double damping terms expressed by $$u_{t}$$ and $$-\Delta u_{t}$$ and a power type of nonlinearity $$\vert u\vert ^{p}$$. We are concerned with mixed problems for these equations in exterior domains of a bounded obstacle. A main purpose is to determine a so-called critical exponent of the power p of the nonlinearity $$\vert u\vert ^{p}$$. In particula...... hiện toàn bộ
Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth
Nonlinear Differential Equations and Applications NoDEA - Tập 29 - Trang 1-25 - 2022
In this paper we study a general class of nonlinear elliptic obstacle problems with Orlicz growth. Our purpose is to prove maximal differentiability of the gradient of solutions in the scale of both fractional Sobolev spaces and Besov spaces. Our regularity results extend the known higher differentiability results for such problems with polynomial growth to those with Orlicz growth.
On backward Euler approximations for systems of conservation laws
Nonlinear Differential Equations and Applications NoDEA - Tập 31 Số 3 - 2024
Convergence of approximate solutions to an elliptic–parabolic equation without the structure condition
Nonlinear Differential Equations and Applications NoDEA - Tập 19 - Trang 695-717 - 2011
We study the Cauchy–Dirichlet problem for the elliptic–parabolic equation
$$b(u)_t + {\rm div} F(u) - \Delta u = f$$
in a bounded domain. We do not assume the structure condition
$$b(z) = b(\hat z) \Rightarrow F(z) = F(\hat z).$...... hiện toàn bộ
Tổng số: 918
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