A solution to a slightly subcritical elliptic problem with non-power nonlinearity

DOI10.1016/j.jde.2020.11.030zbMath1465.35242arXiv2006.16110OpenAlexW3098135917MaRDI QIDQ828299

Mónica Clapp, Angela Pistoia, Alberto Saldaña, Rosa Pardo San Gil

Publication date: 8 January 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16110

zbMATH Keywords

critical Sobolev exponentblow-up solutionsLjapunov-Schmidt reduction

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (7)

Non-power type perturbation for the critical Hénon problem ⋮ Positive solutions for slightly subcritical elliptic problems via Orlicz spaces ⋮ Multispike solutions for a slightly subcritical elliptic problem with non-power nonlinearity ⋮ On a biharmonic elliptic problem with slightly subcritical non-power nonlinearity ⋮ Single‐peak solutions for a subcritical Schrödinger equation with non‐power nonlinearity ⋮ \(L^{\infty} (\Omega)\) a priori estimates for subcritical semilinear elliptic equations with a Carathéodory non-linearity ⋮ A class of supercritical Sobolev type inequalities with logarithm and related elliptic equations

Cites Work

• Unnamed Item
• A priori bounds for positive solutions of subcritical elliptic equations
• A priori bounds and existence of positive solutions for semilinear elliptic systems
• Spiked solutions for Schrödinger systems with Sobolev critical exponent: the cases of competitive and weakly cooperative interactions
• A priori estimates for positive solutions to subcritical elliptic problems in a class of non-convex regions
• On the nondegeneracy of the critical points of the Robin function in symmetric domains
• Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
• Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem
• A priori estimates and existence of positive solutions of semilinear elliptic equations
• On a variational problem with lack of compactness: The topological effect of the critical points at infinity
• Semilinear Dirichlet problem with nearly critical exponent, asymptotic location of hot spots
• A priori estimates for some elliptic equations involving the \(p\)-Laplacian
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• Non degeneracy of critical points of the Robin function with respect to deformations of the domain
• On the existence and the profile of nodal solutions of elliptic equations involving critical growth
• Tower of bubbles for almost critical problems in general domains
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• A priori bounds for positive solutions of nonlinear elliptic equations
• Multispike solutions for a nonlinear elliptic problem involving critical Sobolev exponent
• The Ljapunov–Schmidt Reduction for Some Critical Problems

This page was built for publication: A solution to a slightly subcritical elliptic problem with non-power nonlinearity