Pohozaev obstructions on non-starlike domains

DOI10.1007/s00526-002-0188-3zbMath1140.35424OpenAlexW2008455923MaRDI QIDQ1413444

Jeff Mortensen, Jeff S. McGough

Publication date: 16 November 2003

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

Full work available at URL: https://doi.org/10.1007/s00526-002-0188-3

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

Biharmonic equations under Dirichlet boundary conditions with supercritical growth ⋮ Supercritical problems via a fixed point argument on the cone of monotonic functions ⋮ Non-existence and uniqueness results for supercritical semilinear elliptic equations ⋮ An elliptic problem involving large advection ⋮ A generalized fractional Pohozaev identity and applications ⋮ Uniqueness of solutions for elliptic systems and fourth order equations involving a parameter ⋮ Pohozaev-type identities for differential operators driven by homogeneous vector fields ⋮ Regularity and uniqueness results for second-order nonlinear eigenvalue problems ⋮ Nonexistence of solutions to Hele-Shaw equations ⋮ Supercritical elliptic problems on nonradial domains via a nonsmooth variational approach

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