On the resonant Lane–Emden problem for the p-Laplacian
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Publication:2876616
DOI10.1142/S0219199713500338zbMath1298.35094arXiv1202.3980MaRDI QIDQ2876616
Publication date: 19 August 2014
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.3980
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) General topics in linear spectral theory for PDEs (35P05) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (7)
Hardy-Lane-Emden inequalities for \(p\)-Laplacian on arbitrary domains ⋮ On a singular minimizing problem ⋮ A problem involving the p-Laplacian operator ⋮ Regularity results for the best-Sobolev-constant function ⋮ Remarks on the behavior of the best Sobolev constants ⋮ Asymptotics for the best Sobolev constants and their extremal functions ⋮ The limiting behaviour of solutions to a family of eigenvalue problems
Cites Work
- Solutions of the Cheeger problem via torsion functions
- On the asymptotics of solutions of the Lane-Emden problem for the \(p\)-Laplacian
- On the Dirichlet problem involving the equation \(-\Delta _pu=\lambda u^{s - 1}\)
- Existence and multiplicity results for the \(p\)-Laplacian with a \(p\)-gradient term
- Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
- Regularity for a more general class of quasilinear equations
- Best constant in Sobolev inequality
- An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
- Counting peaks of solutions to some quasilinear elliptic equations with large exponents
- Real analyticity and non-degeneracy
- Symmetry results for functions yielding best constants in Sobolev-type inequalities.
- A note on the nonuniqueness for some quasilinear eigenvalue problem
- Asymptotic behavior of positive solutions of some elliptic problems.
- Computing the first eigenpair of the \(p\)-Laplacian via inverse iteration of sublinear supersolutions
- A strong maximum principle for some quasilinear elliptic equations
- Linear and quasilinear elliptic equations
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Boundary regularity for solutions of degenerate elliptic equations
- On Limits Of Solutions Of Elliptic Problems With Nearly Critical Exponent
- A Picone's identity for the p-Laplacian and applications
- A note on the asymptotic behavior of positive solutions for some elliptic equation
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