Asymptotic estimates and blow-up theory for critical equations involving the \(p\)-Laplacian

DOI10.1007/s00526-005-0344-7zbMath1357.35132OpenAlexW2039347658MaRDI QIDQ818842

Nicolas Saintier

Publication date: 21 March 2006

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-005-0344-7

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Variational methods for second-order elliptic equations (35J20)

Related Items (20)

Sharp Sobolev asymptotics for critical anisotropic equations ⋮ Compactness results for divergence type nonlinear elliptic equations ⋮ Existence of solution to a critical trace equation with variable exponent ⋮ Local existence conditions for an equations involving the \(p(x)\)-Laplacian with critical exponent in \(\mathbb R^N\) ⋮ A priori estimates and application to the symmetry of solutions for critical \(p\)-Laplace equations ⋮ Global compactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy terms ⋮ Struwe compactness results for a critical $p-$Laplacian equation involving critical and subcritical Hardy potential on compact Riemannian manifolds ⋮ A class of critical \(p\)-Kirchhoff type equations on closed manifolds ⋮ A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation ⋮ Existence of solutions to elliptic problems with fractional p-Laplacian and multiple critical nonlinearities in the entire space \(\mathbb{R}^N\) ⋮ Estimates for the Sobolev trace constant with critical exponent and applications ⋮ Quasilinear elliptic systems involving critical Hardy-Sobolev and Sobolev exponents ⋮ Existence of a nontrivial weak solution to quasilinear elliptic equations with singular weights and multiple critical exponents ⋮ The blow-up of critical anisotropic equations with critical directions ⋮ Factorization into \(k\)-bubbles for Palais-Smale maps to potential type energy functionals ⋮ On the compactness problem of extremal functions to sharp Riemannian \(L^p\)-Sobolev inequalities ⋮ Struwe's decomposition for a polyharmonic operator on a compact Riemannian manifold with or without boundary ⋮ On a \(p\)-Laplace equation with multiple critical nonlinearities ⋮ Asymptotic in Sobolev spaces for symmetric Paneitz-type equations on Riemannian manifolds ⋮ Hardy-Sobolev equation on compact Riemannian manifolds involving \(p\)-Laplacian

Cites Work

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