On Limits Of Solutions Of Elliptic Problems With Nearly Critical Exponent

DOI10.1080/03605309208820916zbMath0799.35066OpenAlexW2017150576MaRDI QIDQ4033784

J. P. García Azorero, Ireneo Peral Alonso

Publication date: 16 May 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820916

zbMATH Keywords

critical exponent\(p\)-Laplacian

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (23)

Nonlocal problems at nearly critical growth ⋮ Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents ⋮ On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent ⋮ On the asymptotic behavior of certain solutions of the Dirichlet problem for the equation \({-\Delta_pu=\lambda| u|^{q-2}u}\) ⋮ Computing the first eigenpair of the \(p\)-Laplacian via inverse iteration of sublinear supersolutions ⋮ Radial symmetry and applications for a problem involving the \(-\Delta_p(\cdot)\) operator and critical nonlinearity in \(\mathbb{R}^N\) ⋮ Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. II. ⋮ A note on the asymptotic behavior of positive solutions for some elliptic equation ⋮ A problem involving the p-Laplacian operator ⋮ Regularity results for the best-Sobolev-constant function ⋮ A supercritical variable exponent problem ⋮ Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters ⋮ Single blow-up solutions for a slightly subcritical biharmonic equation ⋮ A uniqueness result for a nonlocal equation of Kirchhoff type and some related open problem ⋮ On Limits Of Solutions of Quasilinear Equations With Nearly Critical Exponents ⋮ A uniqueness for a superlinear eigenvalue problem ⋮ On Blow-Up of Positive Solutions for A Riharmonic Equation Involving Nearly Critical Exponent ⋮ Ground state solutions for a semilinear elliptic problem with critical-subcritical growth ⋮ A note on the nonuniqueness for some quasilinear eigenvalue problem ⋮ Unnamed Item ⋮ On a problem of Huang concerning best constants in Sobolev embeddings ⋮ Asymptotics of solutions for fully nonlinear elliptic problems at nearly critical growth ⋮ On the resonant Lane–Emden problem for the p-Laplacian

Cites Work

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• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Little holes and convergence of solutions of −Δu = u(N + 2)⧸(N - 2)
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Certain weakly nonlinear partial differential equations on annuli
• Quasilinear elliptic equations with nearly critical growth
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• A Note on an Equation with Critical Exponent

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