H1 Versus C1 local minimizers on manifolds

DOI10.1016/0362-546X(95)00019-RzbMath0860.35023OpenAlexW2058790741MaRDI QIDQ4879073

Hossein Tehrani

Publication date: 21 April 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00019-r

zbMATH Keywords

semilinear elliptic equationsminimax theoremsmultiple solutions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Optimality conditions for minimax problems (49K35) Variational methods for second-order elliptic equations (35J20)

Related Items (9)

New Linking Theorem and Sign-Changing Solutions ⋮ \(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer and a Hopf-type maximum principle ⋮ \(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer on manifolds and multiple solutions for zero-mass equations in \(\mathbb{R}^N\) ⋮ Constrained local minima for smooth functionals and some consequences ⋮ Invariance of critical points under Kelvin transform and multiple solutions in exterior domains of \(\mathbb {R}^2\) ⋮ NEWTON'S METHOD AND MORSE INDEX FOR SEMILINEAR ELLIPTIC PDEs ⋮ Multiplicity results for semilinear heterogeneous problems in exterior domains of \(\mathbb{R}^2\) involving subcritical or critical nonlinearities à la Trudinger-Moser ⋮ Perturbations of symmetric eigenvalue problems ⋮ Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint.

Cites Work

• On a superlinear elliptic equation
• Elliptic partial differential equations of second order
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