Dirichlet and Neumann problems to critical Emden-Fowler type equations

DOI10.1007/s10898-007-9193-6zbMath1295.49003OpenAlexW1989760006MaRDI QIDQ2481093

Alexander I. Nazarov

Publication date: 14 April 2008

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-007-9193-6

zbMATH Keywords

minimizerscritical exponentSobolev inequalityEmden-Fowler equationSobolev-Poincaré inequalityHardy-Sobolev inequality

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20)

Related Items

ON THE HARDY–POINCARÉ INEQUALITY WITH BOUNDARY SINGULARITIES ⋮ On the Dirichlet problem generated by the Maz'ya-Sobolev inequality ⋮ Hardy-type inequality with double singular kernels ⋮ A note on Hardy's inequalities with boundary singularities ⋮ Sobolev inequalities for fractional Neumann Laplacians on half spaces ⋮ Boundary control of non-well-posed elliptic equations with nonlinear Neumann boundary conditions ⋮ On the existence of an extremal function in critical Sobolev trace embedding theorem ⋮ Weighted Hardy inequality with higher dimensional singularity on the boundary ⋮ Trace Hardy–Sobolev inequalities in cones ⋮ SHARP CONSTANTS IN THE POINCARÉ, STEKLOV AND RELATED INEQUALITIES (A SURVEY)

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