Multiplicity of positive solutions for a \(p\)-\(q\)-Laplacian type equation with critical nonlinearities

DOI10.1155/2014/829069zbMath1474.35337OpenAlexW2015144812WikidataQ59041844 ScholiaQ59041844MaRDI QIDQ1725082

Tsing-San Hsu, Huei-li Lin

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/829069

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Existence of solutions for critical (p,q)-Laplacian equations in ℝN ⋮ An existence result for a fractional elliptic system involving (p,q)-Laplacian and critical exponent ⋮ Multiplicity results for \((p, q)\)-Laplacian equations with critical exponent in \(\mathbb{R}^N\) and negative energy ⋮ Existence of infinitely many solutions for the \((p, q)\)-Laplace equation

Cites Work

• Unnamed Item
• Unnamed Item
• A class of \(p\)-\(q\)-Laplacian type equation with concave-convex nonlinearities in bounded domain
• An eigenvalue problem for a quasilinear elliptic field equation
• Multiplicity of positive solutions to a \(p\)--\(q\)-Laplacian equation involving critical nonlinearity
• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• Multiple solutions for the p\&q-Laplacian problem with critical exponents
• Multiplicity results for \(p\)-Laplacian with critical nonlinearity of concave-convex type and sign-changing weight functions
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Best constant in Sobolev inequality
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Multiplicity of positive solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\) with critical Sobolev exponent
• Multiplicity of positive solutions to a \(p\)-Laplacian equation involving critical nonlinearity.
• Minimax theorems
• A class of \(p\)-\(q\)-Laplacian type equation with potentials eigenvalue problem in \(\mathbb{R}^N\)
• Multiple solutions to singular critical elliptic equations
• The existence of a nontrivial solution to the \(p{\&}q\)-Laplacian problem with nonlinearity asymptotic to \(u^{p - 1}\) at infinity in \(\mathbb R^N\)
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• A multiplicity result for a variational problem with lack of compactness
• Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝ^N
• On perturbations of a class of a periodic \(m\)-Laplacian equation with critical growth

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