On inhomogeneous biharmonic equations involving critical exponents

DOI10.1017/S0308210500031012zbMath0940.35096MaRDI QIDQ4934079

Yinbin Deng, Gengsheng Wang

Publication date: 17 January 2000

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Ekeland's variational principleexistence of multiple solutionsmountain-pass lemma

Mathematics Subject Classification ID

Related Items (14)

A C⁰ Interior Penalty Discontinuous Galerkin Method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of p-biharmonic type ⋮ Multiple solutions for biharmonic critical Choquard equation involving sign-changing weight functions ⋮ Multiple solutions for a fourth-order nonlinear elliptic problem ⋮ Infinitely many solutions for \(p\)-harmonic equation with singular term ⋮ Multiple normalized solutions for biharmonic Choquard equation with Hardy-Littlewood-Sobolev upper critical and combined nonlinearities ⋮ Multiple solutions of a nonlinear biharmonic equation on graphs ⋮ Existence and nonexistence of solutions to a critical biharmonic equation with logarithmic perturbation ⋮ Multiple solutions for biharmonic equations with asymptotically linear nonlinearities ⋮ Solutions for a class of singular nonlinear boundary value problem involving critical exponent ⋮ Nonuniformly nonlinear elliptic equations of \(p\)-biharmonic type ⋮ Optimal control problems governed by non-well-posed semilinear elliptic equation ⋮ Multiple and sign-changing solutions for a class of semilinear biharmonic equation ⋮ Multiple solutions of inhomogeneous \(H\)-systems with zero Dirichlet boundary conditions ⋮ Existence and uniqueness of positive solutions for singular biharmonic elliptic systems

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• Existence of multiple positive solutions for $$ - \Delta u = \lambda u + u^{\frac{{N + 2}}{{N - 2}}} + \mu f\left( x \right)*$$
• Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent
• ON A CONJECTURE OF P. PUCCI AND J. SERRIN

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