Non-existence of nodal and one-signed solutions for nonlinear variational equations with special symmetries

DOI10.1007/BF00381162zbMath0820.34013OpenAlexW2010164211MaRDI QIDQ1337990

Roberta Filippucci, Roberto Ghiselli Ricci

Publication date: 6 September 1995

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00381162

zbMATH Keywords

variational problemnon-existenceone-signed solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (5)

A quantitative comparison theorem for nonlinear equations ⋮ Global and asymptotic behaviors of bifurcation curves of one-dimensional nonlocal elliptic equations ⋮ Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent ⋮ Critical exponents and critical dimensions for quasilinear elliptic problems ⋮ A general comparison theorem for nonlinear equations

Cites Work

• Precise damping conditions for global asymptotic stability for nonlinear second order systems
• Non-existence of nodal and one-signed solutions for nonlinear variational equations
• Elementary proof of the nonexistence of nodal solutions for the semilinear elliptic equations with critical sobolev exponent
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