Isoperimetric Inequalities in a Class of Nonlinear Eigenvalue Problems

DOI10.1137/0509048zbMath0385.35006OpenAlexW1982843255MaRDI QIDQ4165647

Philip S. Crooke, Rene P. Sperb

Publication date: 1978

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0509048

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

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A sharp upper bound for the first Dirichlet eigenvalue of a class of wedge-like domains ⋮ Isoperimetric inequalities in a boundary value problem on a Riemannian manifold ⋮ A sharp upper bound for the first Dirichlet eigenvalue of cone-like domains ⋮ On an eigenvalue problem arising in chemistry ⋮ Two geometrical properties of solutions of semilinear problems ⋮ Estimates for membranes of varying density† ⋮ A semilinear elliptic eigenvalue problem, II. The plasma problem ⋮ An elliptic boundary-value problem with a discontinuous nonlinearity ⋮ Decay estimates for a class of second-order quasilinear equations in three dimensions

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