Multiplicity results on a fourth order nonlinear elliptic equation

DOI10.1216/rmjm/1181071683zbMath0928.35063OpenAlexW2027891319MaRDI QIDQ1293286

Tacksun Jung, Q-Heung Choi

Publication date: 28 June 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL29-1/CONT29-1/CONT29-1.html

zbMATH Keywords

existenceeigenvaluesvariational reduction method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for higher-order elliptic equations (35J35)

Related Items

Fourth order elliptic system with Dirichlet boundary condition, Nonlinear biharmonic boundary value problem, Fourth order elliptic boundary value problem with nonlinear term decaying at the origin, Fourth order Hamiltonian system with some singular nonlinear term and multiplicity result, NONLINEAR BIHARMONIC EQUATION WITH POLYNOMIAL GROWTH NONLINEAR TERM, AN APPLICATION OF LINKING THEOREM TO FOURTH ORDER ELLIPTIC BOUNDARY VALUE PROBLEM WITH FULLY NONLINEAR TERM, AT LEAST TWO SOLUTIONS FOR THE SEMILINEAR BIHARMONIC BOUNDARY VALUE PROBLEM, NONTRIVIAL SOLUTION FOR THE BIHARMONIC BOUNDARY VALUE PROBLEM WITH SOME NONLINEAR TERM, SINGULAR POTENTIAL BIHARMONIC PROBLEM, AN APPLICATION OF THE LERAY-SCHAUDER DEGREE THEORY TO THE VARIABLE COEFFICIENT SEMILINEAR BIHARMONIC PROBLEM, ELLIPTIC PROBLEM WITH A VARIABLE COEFFICIENT AND A JUMPING SEMILINEAR TERM, A BIFURCATION PROBLEM FOR THE BIHARMONIC OPERATOR, Singular potential biharmonic problem with fixed energy, Applications of topolological methods to the semilinear biharmonic problem with different powers

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