A bipolynomial fractional Dirichlet-Laplace problem

zbMath1418.35126arXiv1812.11349MaRDI QIDQ5376883

Dariusz Idczak

Publication date: 21 May 2019

Full work available at URL: https://arxiv.org/abs/1812.11349

zbMATH Keywords

Dirichlet problemvariational methodsfractional Dirichlet-Laplace operator

Mathematics Subject Classification ID

Higher-order elliptic equations (35J30) Fractional partial differential equations (35R11) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (7)

Optimal control of a nonlinear PDE governed by fractional Laplacian ⋮ Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator ⋮ On a differential inclusion involving Dirichlet-Laplace operators of fractional orders ⋮ Nonlinear equations with a generalized fractional Laplacian ⋮ Unnamed Item ⋮ On the continuous dependence of solutions to a bipolynomial fractional Dirichlet-Laplace problem ⋮ On the nonlinear perturbations of self-adjoint operators

Cites Work

• On some critical problems for the fractional Laplacian operator
• Resonant problems for fractional Laplacian
• Remarks on the dual least action principle
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Functional analysis, Sobolev spaces and partial differential equations
• Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• A concave—convex elliptic problem involving the fractional Laplacian
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Variational Analysis in Sobolev andBVSpaces
• An Extension Problem Related to the Fractional Laplacian

This page was built for publication: A bipolynomial fractional Dirichlet-Laplace problem