scientific article; zbMATH DE number 701607
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Publication:4315396
zbMath0812.35048MaRDI QIDQ4315396
Publication date: 15 May 1995
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subcritical growthPohožaev-type identitystrictly positive solutionssemilinear polyharmonic equations
Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40) A priori estimates in context of PDEs (35B45)
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Department of technical mathematics and informatics university of technology ⋮ The Dirichlet problem for supercritical biharmonic equations with power-type nonlinearity ⋮ Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth ⋮ On the Palais-Smale condition ⋮ Explicit \(L^\infty\)-norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems ⋮ Uniform bounds for higher-order semilinear problems in conformal dimension ⋮ Positivity properties of elliptic boundary value problems of higher order ⋮ Existence results and a priori bounds for higher order elliptic equations and systems ⋮ Existence of solutions to nonlinear, subcritical higher order elliptic Dirichlet problems ⋮ The critical dimension for a fourth-order elliptic problem with singular nonlinearity ⋮ A priori estimates and existence of positive solutions for higher-order elliptic equations ⋮ A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems ⋮ Critical behavior for the polyharmonic operator with Hardy potential
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