Existence results for a perturbed problem involving fractional Laplacians

DOI10.1155/2014/548301zbMath1475.35387OpenAlexW2056293810WikidataQ59039396 ScholiaQ59039396MaRDI QIDQ1724375

Yan Hu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/548301

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Unnamed Item
• Local and global minimizers for a variational energy involving a fractional norm
• Layer solutions for a class of semilinear elliptic equations involving fractional Laplacians
• On a conjecture of De Giorgi and some related problems
• Stationary layered solutions in \(\mathbb{R}^ 2\) for an Allen-Cahn system with multiple well potential
• On De Giorgi's conjecture in dimensions 4 and 5
• Elliptic partial differential equations of second order
• The local regularity of solutions of degenerate elliptic equations
• Characterization of traces of the weighted Sobolev space $W^{1,p}(\Omega,d_M^\epsilon)$ on $M$
• An Extension Problem Related to the Fractional Laplacian
• Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
• Layer solutions in a half‐space for boundary reactions

This page was built for publication: Existence results for a perturbed problem involving fractional Laplacians