A general existence principle for strong solutions to the Dirichlet problem for the equation \(\Delta u+f(t,u)=0\)

DOI10.1016/S0893-9659(97)00029-3zbMath0882.35054MaRDI QIDQ1372259

Donal O'Regan

Publication date: 12 November 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

fixed point theorem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (2)

Fixed-point theory for weakly sequentially continuous mappings ⋮ Weakly contractive zero epi maps.

Cites Work

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• Existence of solutions for some elliptic problems with critical Sobolev exponents
• Existence theorems for a semilinear elliptic boundary value problem
• Existence theorems on the Dirichlet problem for the equation Δu + f(x, u)=0
• Equivalent Norms for Sobolev Spaces

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