Ground-state solution for a class of biharmonic equations including critical exponent
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Publication:903241
DOI10.1007/s00033-015-0583-1zbMath1332.35096OpenAlexW1455034684MaRDI QIDQ903241
Publication date: 5 January 2016
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-015-0583-1
Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Variational methods for higher-order elliptic equations (35J35)
Related Items
Ground state solution to the biharmonic equation, Existence of nontrivial solutions for a class of biharmonic equations with singular potential in \(\mathbb{R}^{N}\), Multiplicity of solutions of the bi-harmonic Schrödinger equation with critical growth, Least energy solutions for indefinite biharmonic problems via modified Nehari–Pankov manifold, Infinitely many sign-changing solutions for a class of biharmonic equation with \(p\)-Laplacian and Neumann boundary condition, Least energy sign-changing solutions for nonlinear Schrödinger equations with indefinite-sign and vanishing potential, Existence and concentration of a nonlinear biharmonic equation with sign-changing potentials and indefinite nonlinearity, Infinitely many solutions for a class of fourth-order partially sublinear elliptic problem, Ground state solution for a fourth-order nonlinear elliptic problem with logarithmic nonlinearity, Multiple solutions for a nonlinear Schrödinger-Poisson system with sign-changing potential, Existence and convergence of solutions for nonlinear biharmonic equations on graphs, Ground state of semilinear elliptic systems with sum of periodic and Hardy potentials, Ground states solutions for modified fourth-order elliptic systems with steep well potential, On ground state solutions for the nonlinear Kirchhoff type problems with a general critical nonlinearity
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