Positive solutions for slightly subcritical elliptic problems via Orlicz spaces

DOI10.1007/s00032-022-00354-1zbMath1500.58006OpenAlexW4224864732MaRDI QIDQ2149591

Rosa Pardo San Gil, Mabel Cuesta

Publication date: 29 June 2022

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-022-00354-1

zbMATH Keywords

positive solutionssubcritical nonlinearity, changing sign weight

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (1)

Correction to: ``Positive solutions for slightly subcritical elliptic problems via Orlicz spaces

Cites Work

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• A priori bounds for positive solutions of subcritical elliptic equations
• A priori bounds and existence of positive solutions for semilinear elliptic systems
• A priori estimates for positive solutions to subcritical elliptic problems in a class of non-convex regions
• A solution to a slightly subcritical elliptic problem with non-power nonlinearity
• Functional analysis, Sobolev spaces and partial differential equations
• Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
• Remarks on the Schrödinger operator with singular complex potentials
• Superlinear indefinite elliptic problems and Pohozyaev type identities
• On semilinear elliptic equations with indefinite nonlinearities
• A priori estimates for some elliptic equations involving the \(p\)-Laplacian
• Dirichlet problem with indefinite nonlinearities
• Equivalence between uniform \(L^{2^\star}(\Omega)\) a-priori bounds and uniform \(L^{\infty}(\Omega)\) a-priori bounds for subcritical elliptic equations
• Some global results for nonlinear eigenvalue problems
• Orlicz-Sobolev spaces and imbedding theorems
• Bifurcation from simple eigenvalues
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Variational Methods
• Infinitely many solutions for an indefinite semilinear elliptic problem in \(\mathbf R^N\)

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