Gradient estimates via rearrangements for solutions of some Schrödinger equations

DOI10.1142/S0219530517500142zbMath1392.35102arXiv1603.00612OpenAlexW2963377984MaRDI QIDQ4640045

Zun Wei Fu, Da Chun Yang, Si Bei Yang, Der-Chen E. Chang

Publication date: 15 May 2018

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00612

zbMATH Keywords

Schrödinger equationsNeumann conditionDirichlet conditiongradient estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10)

Related Items (11)

Existence of positive solutions for third-order semipositone boundary value problems on time scales ⋮ Lp Neumann problem for some Schrödinger equations in (semi-)convex domains ⋮ Regularity of commutators of the bilinear maximal operator ⋮ A necessary and sufficient condition for the existence of entire large solutions to a \(k\)-Hessian system ⋮ The extreme solutions for a σ‐Hessian equation with a nonlinear operator ⋮ The iterative properties of solutions for a singular k-Hessian system ⋮ Unnamed Item ⋮ Regularity for Robin boundary problems of Laplace equations and Hardy spaces on \(C^1\) and (semi-)convex domains ⋮ Necessary and sufficient conditions for the solvability of the Neumann and the regularity problems in \(L^p\) of some Schrödinger equations on Lipschitz domains ⋮ Weighted \(L^p\) boundary value problems for Laplace's equation on (semi-)convex domains ⋮ No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global boundedness of the gradient for a class of Schrödinger equations
• On the boundedness of first derivatives for solutions to the Neumann-Laplace problem in a convex domain
• Approximated solutions of equations with \(L^ 1\) data. Application to the \(H\)-convergence of quasilinear parabolic equations
• Nonlinear elliptic problems with \(L^{1}\) data: an approach via symmetrization methods
• Nonlinear elliptic and parabolic equations involving measure data
• Boundary value problems for the Laplacian in convex and semiconvex domains
• Well-posed elliptic Neumann problems involving irregular data and domains
• Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain
• Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
• Sobolev embeddings into BMO, VMO, and \(L_{\infty}\)
• Elliptic partial differential equations of second order
• Maximizing the \(L^ \infty{}\) norm of the gradient of solutions to the Poisson equation
• Semi-linear second-order elliptic equations in \(L^1\)
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Coercive energy estimates for differential forms in semi-convex domains
• Global gradient estimates in elliptic problems under minimal data and domain regularity
• Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems
• Global boundedness of the gradient for a class of nonlinear elliptic systems
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• Estimates for the gradient of solutions of nonlinear elliptic equations with \(L^1\) data
• Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants
• Local Hardy spaces associated with inhomogeneous higher order elliptic operators
• Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Boundedness of solutions to variational problems under general growth conditions
• A sharp embedding theorem for Orlicz-Sobolev spaces
• Classical Fourier Analysis
• On some regular multiple integral problems in the calculus of variations
• Interpolation of Quasi-Normed Spaces.
• Function Spaces
• A fully anisotropic Sobolev inequality

This page was built for publication: Gradient estimates via rearrangements for solutions of some Schrödinger equations