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

DOI10.1007/BF00381161zbMath0820.34012OpenAlexW1999412660MaRDI QIDQ1337989

Patrizia Pucci, Roberto Ghiselli Ricci, Roberta Filippucci

Publication date: 12 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/bf00381161

zbMATH Keywords

non-existencenodal and one-signed solutions

Mathematics Subject Classification ID

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

Related Items

Non-existence of nodal and one-signed solutions for nonlinear variational equations with special symmetries, Non-existence of one-signed solutions for variational equations with locally amplifying potentials, 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, Nonexistence of nodal solutions of nonlinear elliptic equations.

Cites Work

• Symmetry and related properties via the maximum principle
• Non existence and other properties for solutions of quasilinear elliptic equations
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Elementary proof of the nonexistence of nodal solutions for the semilinear elliptic equations with critical sobolev exponent
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