ON A CLASS OF QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL EXPONENTS

DOI10.1142/S0219199700000049zbMath0955.35027OpenAlexW2027895073MaRDI QIDQ4513333

José Valdo A. Goncalves, Djairo Guedes de Figueiredo, Olímpio Hiroshi Miyagaki

Publication date: 14 November 2000

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199700000049

zbMATH Keywords

radial solutionscritical Sobolev exponentspositive solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (14)

On a class of degenerate quasilinear elliptic equations with zero mass ⋮ Existence for a \(k\)-Hessian equation involving supercritical growth ⋮ Concentration-compactness and extremal problems for a weighted Trudinger–Moser inequality ⋮ Trudinger-Moser type inequalities for weighted Sobolev spaces involving fractional dimensions ⋮ On a weighted Trudinger-Moser inequality in \(\mathbb{R}^N\) ⋮ Critical elliptic equations via a dynamical systems approach ⋮ Hardy-Sobolev type inequality and supercritical extremal problem ⋮ Equivalence of critical and subcritical sharp Trudinger-Moser inequalities in fractional dimensions and extremal functions ⋮ Existence and multiplicity of radial positive solutions for a quasilinear elliptic equation with sign-changing nonlinearity ⋮ Concentration-compactness principle and extremal functions for a sharp Trudinger-Moser inequality ⋮ A Note on Radial Solutions to the Critical Lane-Emden Equation with a Variable Coefficient ⋮ Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders ⋮ On semilinear elliptic problems involving critical exponents ⋮ On positive radial solutions of quasilinear elliptic equations

Cites Work

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• Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents
• Dual variational methods in critical point theory and applications
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• On a class of semilinear elliptic problems in ℝN with critical growth

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