The Finite Element Approximation of Semilinear Elliptic Partial Differential Equations with Critical Exponents in the Cube

DOI10.1137/S1064827596312134zbMath0924.35049OpenAlexW2066970092MaRDI QIDQ4253093

Chris J. Budd, Andrew J. Wathen

Publication date: 24 June 1999

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827596312134

zbMATH Keywords

upper boundcritical Sobolev exponentspurious solutionsmatched asymptotic expansionsharp estimates

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (4)

Gidas-Ni-Nirenberg results for finite difference equations: estimates of approximate symmetry ⋮ Rearrangement inequalities in the discrete setting and some applications ⋮ Adaptive methods for semi-linear elliptic equations with critical exponents and interior singularities ⋮ Numerical and analytical estimates of existence regions for semi-linear elliptic equations with critical Sobolev exponents in cuboid and cylindrical domains

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