Topics in elliptic problems: from semilinear equations to shape optimization
From MaRDI portal
Publication:6592001
DOI10.46298/cm.12568zbMath1547.35007MaRDI QIDQ6592001
Publication date: 23 August 2024
Published in: Communications in Mathematics (Search for Journal in Brave)
free boundary problemsleast energy solutionselliptic equations and systemsoptimal partition problemsexistence and multiplicity of solutionspartial symmetry and symmetry breaking
Smoothness and regularity of solutions to PDEs (35B65) Minimal surfaces and optimization (49Q05) Critical exponents in context of PDEs (35B33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)
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