Euler equations involving nonlinearities without growth conditions

DOI10.1007/BF00275517zbMath0928.49005MaRDI QIDQ1924469

Marco Degiovanni, Simone Zani

Publication date: 1996

Published in: Potential Analysis (Search for Journal in Brave)

zbMATH Keywords

semilinear elliptic equationsEuler equationsintegral functionalminimumCarathéodory functionnonlinearity without growth conditions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (10)

Unbounded critical points for a class of lower semicontinuous functionals ⋮ RADIAL SYMMETRY OF MINIMAX CRITICAL POINTS FOR NONSMOOTH FUNCTIONALS ⋮ Diffeomorphism-invariant properties for quasi-linear elliptic operators ⋮ ON THE LOGARITHMIC SCHRÖDINGER EQUATION ⋮ Multiple solutions of semilinear elliptic equations with one-sided growth conditions ⋮ On Palais' principle for non-smooth functionals ⋮ Fractional logarithmic Schrödinger equations ⋮ On Hammerstein equations with natural growth conditions ⋮ On the symmetry of minimizers in constrained quasi-linear problems ⋮ A non-smooth variational approach to differential problems. A case study of non-resonance under the first eigenvalue for a strongly nonlinear elliptic problem

Cites Work

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• Some properties of higher order Sobolev spaces
• A strongly nonlinear elliptic boundary value problem
• Strongly nonlinear elliptic problems near resonance: a variational approach
• A property of sobolev spaces
• Boundary Value Problems for Strongly Nonlinear Elliptic Equations
• Eine Variationsmethode für elliptische Differentialoperatoren mit strengen Nichtlinearitäten.
• An approximation theorem in higher order Orlicz-Sobolev spaces and applications

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