Existence and regularizing effect of degenerate lower order terms in elliptic equations beyond the Hardy constant

DOI10.1515/ANS-2018-0003zbMath1404.35143OpenAlexW2791326798WikidataQ130193962 ScholiaQ130193962MaRDI QIDQ1632067

Lourdes Moreno-Mérida, David Arcoya, Alexis Molino Salas

Publication date: 12 December 2018

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2018-0003

zbMATH Keywords

elliptic equationsHardy potentiallower order termsregularizing effect

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25)

Related Items (5)

Regularizing effect of absorption terms in singular problems ⋮ Hardy potential versus lower order terms in Dirichlet problems: regularizing effects ⋮ Quasilinear parabolic and elliptic equations with singular potentials ⋮ Unnamed Item ⋮ Existence of solutions for a nonhomogeneous elliptic Kircchoff type equation

Cites Work

• Unnamed Item
• Isolated singularity for semilinear elliptic equations
• Exact singular behavior of positive solutions to nonlinear elliptic equations with a Hardy potential
• The regularizing effect of lower order terms in elliptic problems involving Hardy potential
• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• Hardy inequalities and some critical elliptic and parabolic problems
• Choquet integrals in potential theory
• On the variational principle
• Weakly Differentiable Functions
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Regularity of the solutions to nonlinear elliptic equations with a lower-order term

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