Critical \(p\)-Laplacian problems in \(\mathbf R^ N\)

DOI10.1007/BF01759355zbMath0852.35044MaRDI QIDQ1913376

Lao Sen Yu, Charles A. Swanson

Publication date: 9 December 1996

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

critical Sobolev exponentmountain pass lemmaquasilinear eigenvalue problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items

Quasilinear elliptic systems with critical Sobolev exponents in \(\mathbb {R}^N\), Existence of solutions for critical (p,q)-Laplacian equations in ℝN, Nodal solutions for \(p\)-Laplace equations with critical growth., Existence and multiplicity results for quasilinear elliptic exterior problems with nonlinear boundary conditions, Normalized ground states to the \(p\)-Laplacian equation with general nonlinearities, Multiplicity results for \((p, q)\)-Laplacian equations with critical exponent in \(\mathbb{R}^N\) and negative energy, Existence, non-existence and regularity of radial ground states for \(p\)-Laplacian equations with singular weights, Existence of solutions for a class of \(p\)-Laplacian type equation with critical growth and potential vanishing at infinity, Multiple positive solutions of nonhomogeneous equations involving the \(p\)-Laplacian, Linking and multiplicity results for the \(p\)-Laplacian on unbounded cylinders, Existence for fractional \((p,q)\) systems with critical and Hardy terms in \(\mathbb{R}^N\), On multiple solutions of quasilinear equations involving the critical Sobolev exponent, On the generalised Brézis-Nirenberg problem, On symmetric solutions for \((p, q)\)-Laplacian equations in \(\mathbb{R}^N\) with critical terms

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