Semilinear elliptic PDE's with biharmonic operator and a singular potential

zbMath1352.35059arXiv1506.01122MaRDI QIDQ2827000

Mousomi Bhakta

Publication date: 11 October 2016

Full work available at URL: https://arxiv.org/abs/1506.01122

zbMATH Keywords

stabilityexistencenonexistencesingular potentialNavier boundary conditionblow-up phenomenonsemilinear biharmonic equationuniqueness of extremal solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Boundary value problems for nonlinear higher-order PDEs (35G30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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