Some properties of solutions to the singular quasilinear problems

DOI10.1016/j.na.2009.07.009zbMath1185.35083OpenAlexW2085444973MaRDI QIDQ1049029

Dongsheng Kang

Publication date: 8 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.07.009

zbMATH Keywords

positive solutionelliptic problemHardy inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09)

Related Items (4)

Multiple positive solutions for \(p\)-Laplace elliptic equations involving concave-convex nonlinearities and a Hardy-type term ⋮ A Caffarelli-Kohn-Nirenberg type inequality on Riemannian manifolds ⋮ Conic type Caffarelli-Kohn-Nirenberg inequality on manifold with conical singularity ⋮ Multiple solutions for weighted nonlinear elliptic system involving critical exponents

Cites Work

• Positive solutions to the weighted critical quasilinear problems
• Regularity for a more general class of quasilinear equations
• Remarks on the Schrödinger operator with singular complex potentials
• Best constant in weighted Sobolev inequality with weights being powers of distance from the origin
• On the first eigenfunction of a perturbed Hardy-Sobolev operator
• Positive solutions for singular critical elliptic problems.
• Eigenvalues and bifurcation for elliptic equations with mixed Dirichlet-Neumann boundary conditions related to Caffarelli-Kohn-Nirenberg inequalities
• Local behavior of solutions of quasi-linear equations
• The effect of Harnack inequality on the existence and nonexistence results for quasi-linear parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities
• Solutions to critical elliptic equations with multi-singular inverse square potentials
• Asymptotic behavior of solutions to semilinear elliptic equations with Hardy potential
• A Note on Regularity of Solutions to Degenerate Elliptic Equations of Caffarelli-Kohn-Nirenberg Type
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
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