A biharmonic equation in \(\mathbb{R}^4\) involving nonlinearities with critical exponential growth

From MaRDI portal
Publication:1948052

DOI10.3934/CPAA.2013.12.405zbMath1266.35044OpenAlexW2333440715MaRDI QIDQ1948052

Federica Sani

Publication date: 30 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.405




Related Items (14)

Least energy solutions for indefinite biharmonic problems via modified Nehari–Pankov manifoldEstimate for concentration level of the Adams functional and extremals for Adams-type inequalityExistence of ground state solutions for weighted biharmonic problem involving non linear exponential growthExistence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentialsOn an elliptic Kirchhoff–Boussinesq type problems with exponential growthOn a weighted Adams type inequality and an application to a biharmonic equationExistence solutions for a weighted biharmonic equation with critical exponential growthGround state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearityWeighted fourth order equation of Kirchhoff type in dimension 4 with non-linear exponential growthGround states of bi-harmonic equations with critical exponential growth involving constant and trapping potentialsSchrödinger equations in \(\mathbb{R}^4\) involving the biharmonic operator with critical exponential growthExistence and convergence of solutions for nonlinear biharmonic equations on graphsOn some semilinear equation in \(\mathbb R^4\) containing a Laplacian term and involving nonlinearity with exponential growthAdams' type inequality and application to a quasilinear nonhomogeneous equation with singular and vanishing radial potentials in \( \mathbb{R}^4 \)







This page was built for publication: A biharmonic equation in \(\mathbb{R}^4\) involving nonlinearities with critical exponential growth